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Finding the Third Proportional to 22,726.13 and 49,780.13

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Solution

The third proportional to 22,726.13 and 49,780.13 is: 109,040.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,726.13 : 49,780.13 = 49,780.13 : x
  2. Step 2: Convert to fraction form
    22,726.13/49,780.13 = 49,780.13/x
  3. Step 3: Cross multiply
    22,726.13x = 49,780.13 × 49,780.13
  4. Step 4: Simplify right side
    22,726.13x = 2,478,060,845.02
  5. Step 5: Solve for x
    x = 2,478,060,845.02/22,726.13
  6. Step 6: Final answer
    x = 109,040.18

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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.