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Finding the Third Proportional to 42,374.25 and 57,484.50

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Solution

The third proportional to 42,374.25 and 57,484.50 is: 77,982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,374.25 : 57,484.50 = 57,484.50 : x
  2. Step 2: Convert to fraction form
    42,374.25/57,484.50 = 57,484.50/x
  3. Step 3: Cross multiply
    42,374.25x = 57,484.50 × 57,484.50
  4. Step 4: Simplify right side
    42,374.25x = 3,304,467,740.25
  5. Step 5: Solve for x
    x = 3,304,467,740.25/42,374.25
  6. Step 6: Final answer
    x = 77,982.92

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.