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Finding the Third Proportional to 42,891.50 and 61,877

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Solution

The third proportional to 42,891.50 and 61,877 is: 89,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,891.50 : 61,877 = 61,877 : x
  2. Step 2: Convert to fraction form
    42,891.50/61,877 = 61,877/x
  3. Step 3: Cross multiply
    42,891.50x = 61,877 × 61,877
  4. Step 4: Simplify right side
    42,891.50x = 3,828,763,129
  5. Step 5: Solve for x
    x = 3,828,763,129/42,891.50
  6. Step 6: Final answer
    x = 89,266.24

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.