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Finding the Third Proportional to 12,415 and 29,282

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Solution

The third proportional to 12,415 and 29,282 is: 69,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415 : 29,282 = 29,282 : x
  2. Step 2: Convert to fraction form
    12,415/29,282 = 29,282/x
  3. Step 3: Cross multiply
    12,415x = 29,282 × 29,282
  4. Step 4: Simplify right side
    12,415x = 857,435,524
  5. Step 5: Solve for x
    x = 857,435,524/12,415
  6. Step 6: Final answer
    x = 69,064.48

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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.