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Finding the Third Proportional to 29,632.08 and 64,287.42

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Solution

The third proportional to 29,632.08 and 64,287.42 is: 139,472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,632.08 : 64,287.42 = 64,287.42 : x
  2. Step 2: Convert to fraction form
    29,632.08/64,287.42 = 64,287.42/x
  3. Step 3: Cross multiply
    29,632.08x = 64,287.42 × 64,287.42
  4. Step 4: Simplify right side
    29,632.08x = 4,132,872,611.33
  5. Step 5: Solve for x
    x = 4,132,872,611.33/29,632.08
  6. Step 6: Final answer
    x = 139,472.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.