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Finding the Third Proportional to 42,680.67 and 66,259.27

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Solution

The third proportional to 42,680.67 and 66,259.27 is: 102,863.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,680.67 : 66,259.27 = 66,259.27 : x
  2. Step 2: Convert to fraction form
    42,680.67/66,259.27 = 66,259.27/x
  3. Step 3: Cross multiply
    42,680.67x = 66,259.27 × 66,259.27
  4. Step 4: Simplify right side
    42,680.67x = 4,390,290,281.16
  5. Step 5: Solve for x
    x = 4,390,290,281.16/42,680.67
  6. Step 6: Final answer
    x = 102,863.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.