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Finding the Third Proportional to 40,824 and 59,937.47

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Solution

The third proportional to 40,824 and 59,937.47 is: 87,999.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,824 : 59,937.47 = 59,937.47 : x
  2. Step 2: Convert to fraction form
    40,824/59,937.47 = 59,937.47/x
  3. Step 3: Cross multiply
    40,824x = 59,937.47 × 59,937.47
  4. Step 4: Simplify right side
    40,824x = 3,592,500,160.16
  5. Step 5: Solve for x
    x = 3,592,500,160.16/40,824
  6. Step 6: Final answer
    x = 87,999.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.