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Finding the Third Proportional to 22,640.50 and 49,169

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Solution

The third proportional to 22,640.50 and 49,169 is: 106,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,640.50 : 49,169 = 49,169 : x
  2. Step 2: Convert to fraction form
    22,640.50/49,169 = 49,169/x
  3. Step 3: Cross multiply
    22,640.50x = 49,169 × 49,169
  4. Step 4: Simplify right side
    22,640.50x = 2,417,590,561
  5. Step 5: Solve for x
    x = 2,417,590,561/22,640.50
  6. Step 6: Final answer
    x = 106,781.68

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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.