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Finding the Third Proportional to 19,282 and 40,102

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Solution

The third proportional to 19,282 and 40,102 is: 83,402.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,282 : 40,102 = 40,102 : x
  2. Step 2: Convert to fraction form
    19,282/40,102 = 40,102/x
  3. Step 3: Cross multiply
    19,282x = 40,102 × 40,102
  4. Step 4: Simplify right side
    19,282x = 1,608,170,404
  5. Step 5: Solve for x
    x = 1,608,170,404/19,282
  6. Step 6: Final answer
    x = 83,402.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.