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Finding the Third Proportional to 29,934 and 63,022

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Solution

The third proportional to 29,934 and 63,022 is: 132,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,934 : 63,022 = 63,022 : x
  2. Step 2: Convert to fraction form
    29,934/63,022 = 63,022/x
  3. Step 3: Cross multiply
    29,934x = 63,022 × 63,022
  4. Step 4: Simplify right side
    29,934x = 3,971,772,484
  5. Step 5: Solve for x
    x = 3,971,772,484/29,934
  6. Step 6: Final answer
    x = 132,684.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.