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Finding the Third Proportional to 42,701.38 and 63,706.88

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Solution

The third proportional to 42,701.38 and 63,706.88 is: 95,045.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,701.38 : 63,706.88 = 63,706.88 : x
  2. Step 2: Convert to fraction form
    42,701.38/63,706.88 = 63,706.88/x
  3. Step 3: Cross multiply
    42,701.38x = 63,706.88 × 63,706.88
  4. Step 4: Simplify right side
    42,701.38x = 4,058,565,922.27
  5. Step 5: Solve for x
    x = 4,058,565,922.27/42,701.38
  6. Step 6: Final answer
    x = 95,045.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.