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Finding the Third Proportional to 29,387.81 and 64,288.69

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Solution

The third proportional to 29,387.81 and 64,288.69 is: 140,637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,387.81 : 64,288.69 = 64,288.69 : x
  2. Step 2: Convert to fraction form
    29,387.81/64,288.69 = 64,288.69/x
  3. Step 3: Cross multiply
    29,387.81x = 64,288.69 × 64,288.69
  4. Step 4: Simplify right side
    29,387.81x = 4,133,035,340.47
  5. Step 5: Solve for x
    x = 4,133,035,340.47/29,387.81
  6. Step 6: Final answer
    x = 140,637.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.