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Finding the Third Proportional to 11,157 and 24,470.25

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Solution

The third proportional to 11,157 and 24,470.25 is: 53,669.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157 : 24,470.25 = 24,470.25 : x
  2. Step 2: Convert to fraction form
    11,157/24,470.25 = 24,470.25/x
  3. Step 3: Cross multiply
    11,157x = 24,470.25 × 24,470.25
  4. Step 4: Simplify right side
    11,157x = 598,793,135.06
  5. Step 5: Solve for x
    x = 598,793,135.06/11,157
  6. Step 6: Final answer
    x = 53,669.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.