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Finding the Third Proportional to 20,470 and 31,452

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Solution

The third proportional to 20,470 and 31,452 is: 48,325.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,470 : 31,452 = 31,452 : x
  2. Step 2: Convert to fraction form
    20,470/31,452 = 31,452/x
  3. Step 3: Cross multiply
    20,470x = 31,452 × 31,452
  4. Step 4: Simplify right side
    20,470x = 989,228,304
  5. Step 5: Solve for x
    x = 989,228,304/20,470
  6. Step 6: Final answer
    x = 48,325.76

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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.