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Finding the Third Proportional to 29,759.43 and 64,074.40

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Solution

The third proportional to 29,759.43 and 64,074.40 is: 137,957.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,759.43 : 64,074.40 = 64,074.40 : x
  2. Step 2: Convert to fraction form
    29,759.43/64,074.40 = 64,074.40/x
  3. Step 3: Cross multiply
    29,759.43x = 64,074.40 × 64,074.40
  4. Step 4: Simplify right side
    29,759.43x = 4,105,528,910.56
  5. Step 5: Solve for x
    x = 4,105,528,910.56/29,759.43
  6. Step 6: Final answer
    x = 137,957.24

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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.