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Finding the Third Proportional to 12,512 and 27,346

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Solution

The third proportional to 12,512 and 27,346 is: 59,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,512 : 27,346 = 27,346 : x
  2. Step 2: Convert to fraction form
    12,512/27,346 = 27,346/x
  3. Step 3: Cross multiply
    12,512x = 27,346 × 27,346
  4. Step 4: Simplify right side
    12,512x = 747,803,716
  5. Step 5: Solve for x
    x = 747,803,716/12,512
  6. Step 6: Final answer
    x = 59,766.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.