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Finding the Third Proportional to 10,580 and 11,540

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Solution

The third proportional to 10,580 and 11,540 is: 12,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580 : 11,540 = 11,540 : x
  2. Step 2: Convert to fraction form
    10,580/11,540 = 11,540/x
  3. Step 3: Cross multiply
    10,580x = 11,540 × 11,540
  4. Step 4: Simplify right side
    10,580x = 133,171,600
  5. Step 5: Solve for x
    x = 133,171,600/10,580
  6. Step 6: Final answer
    x = 12,587.11

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.