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Finding the Third Proportional to 27,254 and 38,566

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Solution

The third proportional to 27,254 and 38,566 is: 54,573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,254 : 38,566 = 38,566 : x
  2. Step 2: Convert to fraction form
    27,254/38,566 = 38,566/x
  3. Step 3: Cross multiply
    27,254x = 38,566 × 38,566
  4. Step 4: Simplify right side
    27,254x = 1,487,336,356
  5. Step 5: Solve for x
    x = 1,487,336,356/27,254
  6. Step 6: Final answer
    x = 54,573.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.