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Finding the Third Proportional to 21,882.66 and 48,020.34

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Solution

The third proportional to 21,882.66 and 48,020.34 is: 105,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882.66 : 48,020.34 = 48,020.34 : x
  2. Step 2: Convert to fraction form
    21,882.66/48,020.34 = 48,020.34/x
  3. Step 3: Cross multiply
    21,882.66x = 48,020.34 × 48,020.34
  4. Step 4: Simplify right side
    21,882.66x = 2,305,953,413.87
  5. Step 5: Solve for x
    x = 2,305,953,413.87/21,882.66
  6. Step 6: Final answer
    x = 105,378.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.