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Finding the Third Proportional to 27,234.75 and 37,503.75

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Solution

The third proportional to 27,234.75 and 37,503.75 is: 51,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,234.75 : 37,503.75 = 37,503.75 : x
  2. Step 2: Convert to fraction form
    27,234.75/37,503.75 = 37,503.75/x
  3. Step 3: Cross multiply
    27,234.75x = 37,503.75 × 37,503.75
  4. Step 4: Simplify right side
    27,234.75x = 1,406,531,264.06
  5. Step 5: Solve for x
    x = 1,406,531,264.06/27,234.75
  6. Step 6: Final answer
    x = 51,644.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.