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Finding the Third Proportional to 12,466 and 27,402

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Solution

The third proportional to 12,466 and 27,402 is: 60,233.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466 : 27,402 = 27,402 : x
  2. Step 2: Convert to fraction form
    12,466/27,402 = 27,402/x
  3. Step 3: Cross multiply
    12,466x = 27,402 × 27,402
  4. Step 4: Simplify right side
    12,466x = 750,869,604
  5. Step 5: Solve for x
    x = 750,869,604/12,466
  6. Step 6: Final answer
    x = 60,233.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.