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Finding the Third Proportional to 10,471.78 and 22,584.66

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Solution

The third proportional to 10,471.78 and 22,584.66 is: 48,708.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.78 : 22,584.66 = 22,584.66 : x
  2. Step 2: Convert to fraction form
    10,471.78/22,584.66 = 22,584.66/x
  3. Step 3: Cross multiply
    10,471.78x = 22,584.66 × 22,584.66
  4. Step 4: Simplify right side
    10,471.78x = 510,066,697.93
  5. Step 5: Solve for x
    x = 510,066,697.93/10,471.78
  6. Step 6: Final answer
    x = 48,708.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.