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Finding the Third Proportional to 10,505 and 22,657

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Solution

The third proportional to 10,505 and 22,657 is: 48,866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505 : 22,657 = 22,657 : x
  2. Step 2: Convert to fraction form
    10,505/22,657 = 22,657/x
  3. Step 3: Cross multiply
    10,505x = 22,657 × 22,657
  4. Step 4: Simplify right side
    10,505x = 513,339,649
  5. Step 5: Solve for x
    x = 513,339,649/10,505
  6. Step 6: Final answer
    x = 48,866.22

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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.