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Finding the Third Proportional to 27,542 and 56,536

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Solution

The third proportional to 27,542 and 56,536 is: 116,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542 : 56,536 = 56,536 : x
  2. Step 2: Convert to fraction form
    27,542/56,536 = 56,536/x
  3. Step 3: Cross multiply
    27,542x = 56,536 × 56,536
  4. Step 4: Simplify right side
    27,542x = 3,196,319,296
  5. Step 5: Solve for x
    x = 3,196,319,296/27,542
  6. Step 6: Final answer
    x = 116,052.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.