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Finding the Third Proportional to 40,492 and 61,278

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Solution

The third proportional to 40,492 and 61,278 is: 92,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,492 : 61,278 = 61,278 : x
  2. Step 2: Convert to fraction form
    40,492/61,278 = 61,278/x
  3. Step 3: Cross multiply
    40,492x = 61,278 × 61,278
  4. Step 4: Simplify right side
    40,492x = 3,754,993,284
  5. Step 5: Solve for x
    x = 3,754,993,284/40,492
  6. Step 6: Final answer
    x = 92,734.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.