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Finding the Third Proportional to 10,264 and 11,560

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Solution

The third proportional to 10,264 and 11,560 is: 13,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264 : 11,560 = 11,560 : x
  2. Step 2: Convert to fraction form
    10,264/11,560 = 11,560/x
  3. Step 3: Cross multiply
    10,264x = 11,560 × 11,560
  4. Step 4: Simplify right side
    10,264x = 133,633,600
  5. Step 5: Solve for x
    x = 133,633,600/10,264
  6. Step 6: Final answer
    x = 13,019.64

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.