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Finding the Third Proportional to 5,775 and 12,534

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Solution

The third proportional to 5,775 and 12,534 is: 27,203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775 : 12,534 = 12,534 : x
  2. Step 2: Convert to fraction form
    5,775/12,534 = 12,534/x
  3. Step 3: Cross multiply
    5,775x = 12,534 × 12,534
  4. Step 4: Simplify right side
    5,775x = 157,101,156
  5. Step 5: Solve for x
    x = 157,101,156/5,775
  6. Step 6: Final answer
    x = 27,203.66

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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.