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Finding the Third Proportional to 12,419 and 29,291

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Solution

The third proportional to 12,419 and 29,291 is: 69,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419 : 29,291 = 29,291 : x
  2. Step 2: Convert to fraction form
    12,419/29,291 = 29,291/x
  3. Step 3: Cross multiply
    12,419x = 29,291 × 29,291
  4. Step 4: Simplify right side
    12,419x = 857,962,681
  5. Step 5: Solve for x
    x = 857,962,681/12,419
  6. Step 6: Final answer
    x = 69,084.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.