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Finding the Third Proportional to 27,792 and 40,216

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Solution

The third proportional to 27,792 and 40,216 is: 58,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,792 : 40,216 = 40,216 : x
  2. Step 2: Convert to fraction form
    27,792/40,216 = 40,216/x
  3. Step 3: Cross multiply
    27,792x = 40,216 × 40,216
  4. Step 4: Simplify right side
    27,792x = 1,617,326,656
  5. Step 5: Solve for x
    x = 1,617,326,656/27,792
  6. Step 6: Final answer
    x = 58,193.96

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.