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Finding the Third Proportional to 22,581 and 48,927

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Solution

The third proportional to 22,581 and 48,927 is: 106,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,581 : 48,927 = 48,927 : x
  2. Step 2: Convert to fraction form
    22,581/48,927 = 48,927/x
  3. Step 3: Cross multiply
    22,581x = 48,927 × 48,927
  4. Step 4: Simplify right side
    22,581x = 2,393,851,329
  5. Step 5: Solve for x
    x = 2,393,851,329/22,581
  6. Step 6: Final answer
    x = 106,011.75

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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.