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Finding the Third Proportional to 29,542.15 and 64,824.33

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Solution

The third proportional to 29,542.15 and 64,824.33 is: 142,244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,542.15 : 64,824.33 = 64,824.33 : x
  2. Step 2: Convert to fraction form
    29,542.15/64,824.33 = 64,824.33/x
  3. Step 3: Cross multiply
    29,542.15x = 64,824.33 × 64,824.33
  4. Step 4: Simplify right side
    29,542.15x = 4,202,193,516.86
  5. Step 5: Solve for x
    x = 4,202,193,516.86/29,542.15
  6. Step 6: Final answer
    x = 142,244.01

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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.