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Finding the Third Proportional to 10,578 and 22,917.75

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Solution

The third proportional to 10,578 and 22,917.75 is: 49,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578 : 22,917.75 = 22,917.75 : x
  2. Step 2: Convert to fraction form
    10,578/22,917.75 = 22,917.75/x
  3. Step 3: Cross multiply
    10,578x = 22,917.75 × 22,917.75
  4. Step 4: Simplify right side
    10,578x = 525,223,265.06
  5. Step 5: Solve for x
    x = 525,223,265.06/10,578
  6. Step 6: Final answer
    x = 49,652.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.