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Finding the Third Proportional to 27,406 and 37,135.50

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Solution

The third proportional to 27,406 and 37,135.50 is: 50,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406 : 37,135.50 = 37,135.50 : x
  2. Step 2: Convert to fraction form
    27,406/37,135.50 = 37,135.50/x
  3. Step 3: Cross multiply
    27,406x = 37,135.50 × 37,135.50
  4. Step 4: Simplify right side
    27,406x = 1,379,045,360.25
  5. Step 5: Solve for x
    x = 1,379,045,360.25/27,406
  6. Step 6: Final answer
    x = 50,319.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.