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Finding the Third Proportional to 10,564 and 22,800

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Solution

The third proportional to 10,564 and 22,800 is: 49,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564 : 22,800 = 22,800 : x
  2. Step 2: Convert to fraction form
    10,564/22,800 = 22,800/x
  3. Step 3: Cross multiply
    10,564x = 22,800 × 22,800
  4. Step 4: Simplify right side
    10,564x = 519,840,000
  5. Step 5: Solve for x
    x = 519,840,000/10,564
  6. Step 6: Final answer
    x = 49,208.63

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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.