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Finding the Third Proportional to 42,724 and 59,918

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Solution

The third proportional to 42,724 and 59,918 is: 84,031.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,724 : 59,918 = 59,918 : x
  2. Step 2: Convert to fraction form
    42,724/59,918 = 59,918/x
  3. Step 3: Cross multiply
    42,724x = 59,918 × 59,918
  4. Step 4: Simplify right side
    42,724x = 3,590,166,724
  5. Step 5: Solve for x
    x = 3,590,166,724/42,724
  6. Step 6: Final answer
    x = 84,031.62

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.