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Finding the Third Proportional to 29,874 and 64,122

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Solution

The third proportional to 29,874 and 64,122 is: 137,632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,874 : 64,122 = 64,122 : x
  2. Step 2: Convert to fraction form
    29,874/64,122 = 64,122/x
  3. Step 3: Cross multiply
    29,874x = 64,122 × 64,122
  4. Step 4: Simplify right side
    29,874x = 4,111,630,884
  5. Step 5: Solve for x
    x = 4,111,630,884/29,874
  6. Step 6: Final answer
    x = 137,632.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.