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Finding the Third Proportional to 19,263 and 40,686

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Solution

The third proportional to 19,263 and 40,686 is: 85,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,263 : 40,686 = 40,686 : x
  2. Step 2: Convert to fraction form
    19,263/40,686 = 40,686/x
  3. Step 3: Cross multiply
    19,263x = 40,686 × 40,686
  4. Step 4: Simplify right side
    19,263x = 1,655,350,596
  5. Step 5: Solve for x
    x = 1,655,350,596/19,263
  6. Step 6: Final answer
    x = 85,934.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.