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Finding the Third Proportional to 22,409 and 47,762

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Solution

The third proportional to 22,409 and 47,762 is: 101,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,409 : 47,762 = 47,762 : x
  2. Step 2: Convert to fraction form
    22,409/47,762 = 47,762/x
  3. Step 3: Cross multiply
    22,409x = 47,762 × 47,762
  4. Step 4: Simplify right side
    22,409x = 2,281,208,644
  5. Step 5: Solve for x
    x = 2,281,208,644/22,409
  6. Step 6: Final answer
    x = 101,798.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.