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Finding the Third Proportional to 8,669.25 and 20,458.13

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Solution

The third proportional to 8,669.25 and 20,458.13 is: 48,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669.25 : 20,458.13 = 20,458.13 : x
  2. Step 2: Convert to fraction form
    8,669.25/20,458.13 = 20,458.13/x
  3. Step 3: Cross multiply
    8,669.25x = 20,458.13 × 20,458.13
  4. Step 4: Simplify right side
    8,669.25x = 418,534,878.52
  5. Step 5: Solve for x
    x = 418,534,878.52/8,669.25
  6. Step 6: Final answer
    x = 48,278.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.