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Finding the Third Proportional to 42,891.75 and 61,877.06

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Solution

The third proportional to 42,891.75 and 61,877.06 is: 89,265.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,891.75 : 61,877.06 = 61,877.06 : x
  2. Step 2: Convert to fraction form
    42,891.75/61,877.06 = 61,877.06/x
  3. Step 3: Cross multiply
    42,891.75x = 61,877.06 × 61,877.06
  4. Step 4: Simplify right side
    42,891.75x = 3,828,770,863.63
  5. Step 5: Solve for x
    x = 3,828,770,863.63/42,891.75
  6. Step 6: Final answer
    x = 89,265.90

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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.