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Finding the Third Proportional to 12,374 and 26,680

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Solution

The third proportional to 12,374 and 26,680 is: 57,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374 : 26,680 = 26,680 : x
  2. Step 2: Convert to fraction form
    12,374/26,680 = 26,680/x
  3. Step 3: Cross multiply
    12,374x = 26,680 × 26,680
  4. Step 4: Simplify right side
    12,374x = 711,822,400
  5. Step 5: Solve for x
    x = 711,822,400/12,374
  6. Step 6: Final answer
    x = 57,525.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.