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Finding the Third Proportional to 12,374 and 27,214

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Solution

The third proportional to 12,374 and 27,214 is: 59,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374 : 27,214 = 27,214 : x
  2. Step 2: Convert to fraction form
    12,374/27,214 = 27,214/x
  3. Step 3: Cross multiply
    12,374x = 27,214 × 27,214
  4. Step 4: Simplify right side
    12,374x = 740,601,796
  5. Step 5: Solve for x
    x = 740,601,796/12,374
  6. Step 6: Final answer
    x = 59,851.45

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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.