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Finding the Third Proportional to 10,186 and 15,475

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Solution

The third proportional to 10,186 and 15,475 is: 23,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186 : 15,475 = 15,475 : x
  2. Step 2: Convert to fraction form
    10,186/15,475 = 15,475/x
  3. Step 3: Cross multiply
    10,186x = 15,475 × 15,475
  4. Step 4: Simplify right side
    10,186x = 239,475,625
  5. Step 5: Solve for x
    x = 239,475,625/10,186
  6. Step 6: Final answer
    x = 23,510.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.