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Finding the Third Proportional to 23,382.84 and 48,428.72

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Solution

The third proportional to 23,382.84 and 48,428.72 is: 100,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,382.84 : 48,428.72 = 48,428.72 : x
  2. Step 2: Convert to fraction form
    23,382.84/48,428.72 = 48,428.72/x
  3. Step 3: Cross multiply
    23,382.84x = 48,428.72 × 48,428.72
  4. Step 4: Simplify right side
    23,382.84x = 2,345,340,799.77
  5. Step 5: Solve for x
    x = 2,345,340,799.77/23,382.84
  6. Step 6: Final answer
    x = 100,301.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.