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Finding the Third Proportional to 29,211.75 and 63,344.25

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Solution

The third proportional to 29,211.75 and 63,344.25 is: 137,358.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,211.75 : 63,344.25 = 63,344.25 : x
  2. Step 2: Convert to fraction form
    29,211.75/63,344.25 = 63,344.25/x
  3. Step 3: Cross multiply
    29,211.75x = 63,344.25 × 63,344.25
  4. Step 4: Simplify right side
    29,211.75x = 4,012,494,008.06
  5. Step 5: Solve for x
    x = 4,012,494,008.06/29,211.75
  6. Step 6: Final answer
    x = 137,358.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.