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Finding the Third Proportional to 10,593.28 and 22,838.20

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Solution

The third proportional to 10,593.28 and 22,838.20 is: 49,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.28 : 22,838.20 = 22,838.20 : x
  2. Step 2: Convert to fraction form
    10,593.28/22,838.20 = 22,838.20/x
  3. Step 3: Cross multiply
    10,593.28x = 22,838.20 × 22,838.20
  4. Step 4: Simplify right side
    10,593.28x = 521,583,521.98
  5. Step 5: Solve for x
    x = 521,583,521.98/10,593.28
  6. Step 6: Final answer
    x = 49,237.20

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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.