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Finding the Third Proportional to 22,726.13 and 48,826.13

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Solution

The third proportional to 22,726.13 and 48,826.13 is: 104,900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,726.13 : 48,826.13 = 48,826.13 : x
  2. Step 2: Convert to fraction form
    22,726.13/48,826.13 = 48,826.13/x
  3. Step 3: Cross multiply
    22,726.13x = 48,826.13 × 48,826.13
  4. Step 4: Simplify right side
    22,726.13x = 2,383,990,482.52
  5. Step 5: Solve for x
    x = 2,383,990,482.52/22,726.13
  6. Step 6: Final answer
    x = 104,900.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.