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Finding the Third Proportional to 10,593.75 and 22,853.25

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Solution

The third proportional to 10,593.75 and 22,853.25 is: 49,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.75 : 22,853.25 = 22,853.25 : x
  2. Step 2: Convert to fraction form
    10,593.75/22,853.25 = 22,853.25/x
  3. Step 3: Cross multiply
    10,593.75x = 22,853.25 × 22,853.25
  4. Step 4: Simplify right side
    10,593.75x = 522,271,035.56
  5. Step 5: Solve for x
    x = 522,271,035.56/10,593.75
  6. Step 6: Final answer
    x = 49,299.92

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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.