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Finding the Third Proportional to 12,525 and 27,534

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Solution

The third proportional to 12,525 and 27,534 is: 60,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,525 : 27,534 = 27,534 : x
  2. Step 2: Convert to fraction form
    12,525/27,534 = 27,534/x
  3. Step 3: Cross multiply
    12,525x = 27,534 × 27,534
  4. Step 4: Simplify right side
    12,525x = 758,121,156
  5. Step 5: Solve for x
    x = 758,121,156/12,525
  6. Step 6: Final answer
    x = 60,528.64

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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.