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Finding the Third Proportional to 10,142 and 11,600

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Solution

The third proportional to 10,142 and 11,600 is: 13,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142 : 11,600 = 11,600 : x
  2. Step 2: Convert to fraction form
    10,142/11,600 = 11,600/x
  3. Step 3: Cross multiply
    10,142x = 11,600 × 11,600
  4. Step 4: Simplify right side
    10,142x = 134,560,000
  5. Step 5: Solve for x
    x = 134,560,000/10,142
  6. Step 6: Final answer
    x = 13,267.60

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.