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Finding the Third Proportional to 10,534 and 23,186

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Solution

The third proportional to 10,534 and 23,186 is: 51,033.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534 : 23,186 = 23,186 : x
  2. Step 2: Convert to fraction form
    10,534/23,186 = 23,186/x
  3. Step 3: Cross multiply
    10,534x = 23,186 × 23,186
  4. Step 4: Simplify right side
    10,534x = 537,590,596
  5. Step 5: Solve for x
    x = 537,590,596/10,534
  6. Step 6: Final answer
    x = 51,033.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.