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Finding the Third Proportional to 22,836.80 and 49,823.51

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Solution

The third proportional to 22,836.80 and 49,823.51 is: 108,700.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,836.80 : 49,823.51 = 49,823.51 : x
  2. Step 2: Convert to fraction form
    22,836.80/49,823.51 = 49,823.51/x
  3. Step 3: Cross multiply
    22,836.80x = 49,823.51 × 49,823.51
  4. Step 4: Simplify right side
    22,836.80x = 2,482,381,930.74
  5. Step 5: Solve for x
    x = 2,482,381,930.74/22,836.80
  6. Step 6: Final answer
    x = 108,700.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.