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Finding the Third Proportional to 12,534 and 27,294

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Solution

The third proportional to 12,534 and 27,294 is: 59,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534 : 27,294 = 27,294 : x
  2. Step 2: Convert to fraction form
    12,534/27,294 = 27,294/x
  3. Step 3: Cross multiply
    12,534x = 27,294 × 27,294
  4. Step 4: Simplify right side
    12,534x = 744,962,436
  5. Step 5: Solve for x
    x = 744,962,436/12,534
  6. Step 6: Final answer
    x = 59,435.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.