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Finding the Third Proportional to 10,270 and 11,350

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Solution

The third proportional to 10,270 and 11,350 is: 12,543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270 : 11,350 = 11,350 : x
  2. Step 2: Convert to fraction form
    10,270/11,350 = 11,350/x
  3. Step 3: Cross multiply
    10,270x = 11,350 × 11,350
  4. Step 4: Simplify right side
    10,270x = 128,822,500
  5. Step 5: Solve for x
    x = 128,822,500/10,270
  6. Step 6: Final answer
    x = 12,543.57

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.