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Finding the Third Proportional to 12,582 and 27,347

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Solution

The third proportional to 12,582 and 27,347 is: 59,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582 : 27,347 = 27,347 : x
  2. Step 2: Convert to fraction form
    12,582/27,347 = 27,347/x
  3. Step 3: Cross multiply
    12,582x = 27,347 × 27,347
  4. Step 4: Simplify right side
    12,582x = 747,858,409
  5. Step 5: Solve for x
    x = 747,858,409/12,582
  6. Step 6: Final answer
    x = 59,438.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.