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Finding the Third Proportional to 27,410 and 56,762

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Solution

The third proportional to 27,410 and 56,762 is: 117,545.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,410 : 56,762 = 56,762 : x
  2. Step 2: Convert to fraction form
    27,410/56,762 = 56,762/x
  3. Step 3: Cross multiply
    27,410x = 56,762 × 56,762
  4. Step 4: Simplify right side
    27,410x = 3,221,924,644
  5. Step 5: Solve for x
    x = 3,221,924,644/27,410
  6. Step 6: Final answer
    x = 117,545.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.