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Finding the Third Proportional to 42,635.25 and 59,637.38

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Solution

The third proportional to 42,635.25 and 59,637.38 is: 83,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,635.25 : 59,637.38 = 59,637.38 : x
  2. Step 2: Convert to fraction form
    42,635.25/59,637.38 = 59,637.38/x
  3. Step 3: Cross multiply
    42,635.25x = 59,637.38 × 59,637.38
  4. Step 4: Simplify right side
    42,635.25x = 3,556,616,496.89
  5. Step 5: Solve for x
    x = 3,556,616,496.89/42,635.25
  6. Step 6: Final answer
    x = 83,419.62

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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.