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Finding the Third Proportional to 29,394 and 63,434

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Solution

The third proportional to 29,394 and 63,434 is: 136,894.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,394 : 63,434 = 63,434 : x
  2. Step 2: Convert to fraction form
    29,394/63,434 = 63,434/x
  3. Step 3: Cross multiply
    29,394x = 63,434 × 63,434
  4. Step 4: Simplify right side
    29,394x = 4,023,872,356
  5. Step 5: Solve for x
    x = 4,023,872,356/29,394
  6. Step 6: Final answer
    x = 136,894.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.