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Finding the Third Proportional to 27,376.50 and 39,561

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Solution

The third proportional to 27,376.50 and 39,561 is: 57,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,376.50 : 39,561 = 39,561 : x
  2. Step 2: Convert to fraction form
    27,376.50/39,561 = 39,561/x
  3. Step 3: Cross multiply
    27,376.50x = 39,561 × 39,561
  4. Step 4: Simplify right side
    27,376.50x = 1,565,072,721
  5. Step 5: Solve for x
    x = 1,565,072,721/27,376.50
  6. Step 6: Final answer
    x = 57,168.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.