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Finding the Third Proportional to 27,059.50 and 39,542

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Solution

The third proportional to 27,059.50 and 39,542 is: 57,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,059.50 : 39,542 = 39,542 : x
  2. Step 2: Convert to fraction form
    27,059.50/39,542 = 39,542/x
  3. Step 3: Cross multiply
    27,059.50x = 39,542 × 39,542
  4. Step 4: Simplify right side
    27,059.50x = 1,563,569,764
  5. Step 5: Solve for x
    x = 1,563,569,764/27,059.50
  6. Step 6: Final answer
    x = 57,782.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.