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Finding the Third Proportional to 22,699 and 49,877

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Solution

The third proportional to 22,699 and 49,877 is: 109,595.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,699 : 49,877 = 49,877 : x
  2. Step 2: Convert to fraction form
    22,699/49,877 = 49,877/x
  3. Step 3: Cross multiply
    22,699x = 49,877 × 49,877
  4. Step 4: Simplify right side
    22,699x = 2,487,715,129
  5. Step 5: Solve for x
    x = 2,487,715,129/22,699
  6. Step 6: Final answer
    x = 109,595.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.