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Finding the Third Proportional to 29,308.50 and 63,057.25

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Solution

The third proportional to 29,308.50 and 63,057.25 is: 135,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,308.50 : 63,057.25 = 63,057.25 : x
  2. Step 2: Convert to fraction form
    29,308.50/63,057.25 = 63,057.25/x
  3. Step 3: Cross multiply
    29,308.50x = 63,057.25 × 63,057.25
  4. Step 4: Simplify right side
    29,308.50x = 3,976,216,777.56
  5. Step 5: Solve for x
    x = 3,976,216,777.56/29,308.50
  6. Step 6: Final answer
    x = 135,667.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.