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Finding the Third Proportional to 29,947.50 and 65,207.25

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Solution

The third proportional to 29,947.50 and 65,207.25 is: 141,981.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,947.50 : 65,207.25 = 65,207.25 : x
  2. Step 2: Convert to fraction form
    29,947.50/65,207.25 = 65,207.25/x
  3. Step 3: Cross multiply
    29,947.50x = 65,207.25 × 65,207.25
  4. Step 4: Simplify right side
    29,947.50x = 4,251,985,452.56
  5. Step 5: Solve for x
    x = 4,251,985,452.56/29,947.50
  6. Step 6: Final answer
    x = 141,981.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.