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Finding the Third Proportional to 29,904 and 63,452

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Solution

The third proportional to 29,904 and 63,452 is: 134,636.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,904 : 63,452 = 63,452 : x
  2. Step 2: Convert to fraction form
    29,904/63,452 = 63,452/x
  3. Step 3: Cross multiply
    29,904x = 63,452 × 63,452
  4. Step 4: Simplify right side
    29,904x = 4,026,156,304
  5. Step 5: Solve for x
    x = 4,026,156,304/29,904
  6. Step 6: Final answer
    x = 134,636.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.