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Finding the Third Proportional to 29,976.57 and 64,107.15

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Solution

The third proportional to 29,976.57 and 64,107.15 is: 137,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,976.57 : 64,107.15 = 64,107.15 : x
  2. Step 2: Convert to fraction form
    29,976.57/64,107.15 = 64,107.15/x
  3. Step 3: Cross multiply
    29,976.57x = 64,107.15 × 64,107.15
  4. Step 4: Simplify right side
    29,976.57x = 4,109,726,606.00
  5. Step 5: Solve for x
    x = 4,109,726,606.00/29,976.57
  6. Step 6: Final answer
    x = 137,097.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.