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Finding the Third Proportional to 20,282 and 31,159

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Solution

The third proportional to 20,282 and 31,159 is: 47,869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,282 : 31,159 = 31,159 : x
  2. Step 2: Convert to fraction form
    20,282/31,159 = 31,159/x
  3. Step 3: Cross multiply
    20,282x = 31,159 × 31,159
  4. Step 4: Simplify right side
    20,282x = 970,883,281
  5. Step 5: Solve for x
    x = 970,883,281/20,282
  6. Step 6: Final answer
    x = 47,869.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.