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Finding the Third Proportional to 23,464.38 and 48,592.19

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Solution

The third proportional to 23,464.38 and 48,592.19 is: 100,629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,464.38 : 48,592.19 = 48,592.19 : x
  2. Step 2: Convert to fraction form
    23,464.38/48,592.19 = 48,592.19/x
  3. Step 3: Cross multiply
    23,464.38x = 48,592.19 × 48,592.19
  4. Step 4: Simplify right side
    23,464.38x = 2,361,200,686.04
  5. Step 5: Solve for x
    x = 2,361,200,686.04/23,464.38
  6. Step 6: Final answer
    x = 100,629.17

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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.