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Finding the Third Proportional to 10,695 and 22,775

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Solution

The third proportional to 10,695 and 22,775 is: 48,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695 : 22,775 = 22,775 : x
  2. Step 2: Convert to fraction form
    10,695/22,775 = 22,775/x
  3. Step 3: Cross multiply
    10,695x = 22,775 × 22,775
  4. Step 4: Simplify right side
    10,695x = 518,700,625
  5. Step 5: Solve for x
    x = 518,700,625/10,695
  6. Step 6: Final answer
    x = 48,499.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.