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Finding the Third Proportional to 40,715 and 59,614

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Solution

The third proportional to 40,715 and 59,614 is: 87,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,715 : 59,614 = 59,614 : x
  2. Step 2: Convert to fraction form
    40,715/59,614 = 59,614/x
  3. Step 3: Cross multiply
    40,715x = 59,614 × 59,614
  4. Step 4: Simplify right side
    40,715x = 3,553,828,996
  5. Step 5: Solve for x
    x = 3,553,828,996/40,715
  6. Step 6: Final answer
    x = 87,285.50

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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.