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Finding the Third Proportional to 31,168 and 54,284

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Solution

The third proportional to 31,168 and 54,284 is: 94,544.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,168 : 54,284 = 54,284 : x
  2. Step 2: Convert to fraction form
    31,168/54,284 = 54,284/x
  3. Step 3: Cross multiply
    31,168x = 54,284 × 54,284
  4. Step 4: Simplify right side
    31,168x = 2,946,752,656
  5. Step 5: Solve for x
    x = 2,946,752,656/31,168
  6. Step 6: Final answer
    x = 94,544.17

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.