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Finding the Third Proportional to 42,288 and 56,962

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Solution

The third proportional to 42,288 and 56,962 is: 76,727.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,288 : 56,962 = 56,962 : x
  2. Step 2: Convert to fraction form
    42,288/56,962 = 56,962/x
  3. Step 3: Cross multiply
    42,288x = 56,962 × 56,962
  4. Step 4: Simplify right side
    42,288x = 3,244,669,444
  5. Step 5: Solve for x
    x = 3,244,669,444/42,288
  6. Step 6: Final answer
    x = 76,727.90

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.