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Finding the Third Proportional to 27,542.53 and 36,000.07

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Solution

The third proportional to 27,542.53 and 36,000.07 is: 47,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542.53 : 36,000.07 = 36,000.07 : x
  2. Step 2: Convert to fraction form
    27,542.53/36,000.07 = 36,000.07/x
  3. Step 3: Cross multiply
    27,542.53x = 36,000.07 × 36,000.07
  4. Step 4: Simplify right side
    27,542.53x = 1,296,005,062.50
  5. Step 5: Solve for x
    x = 1,296,005,062.50/27,542.53
  6. Step 6: Final answer
    x = 47,054.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.