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Finding the Third Proportional to 28,792 and 38,868

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Solution

The third proportional to 28,792 and 38,868 is: 52,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,792 : 38,868 = 38,868 : x
  2. Step 2: Convert to fraction form
    28,792/38,868 = 38,868/x
  3. Step 3: Cross multiply
    28,792x = 38,868 × 38,868
  4. Step 4: Simplify right side
    28,792x = 1,510,721,424
  5. Step 5: Solve for x
    x = 1,510,721,424/28,792
  6. Step 6: Final answer
    x = 52,470.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.