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Finding the Third Proportional to 10,461 and 11,281

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Solution

The third proportional to 10,461 and 11,281 is: 12,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461 : 11,281 = 11,281 : x
  2. Step 2: Convert to fraction form
    10,461/11,281 = 11,281/x
  3. Step 3: Cross multiply
    10,461x = 11,281 × 11,281
  4. Step 4: Simplify right side
    10,461x = 127,260,961
  5. Step 5: Solve for x
    x = 127,260,961/10,461
  6. Step 6: Final answer
    x = 12,165.28

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.