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Finding the Third Proportional to 40,475 and 61,277

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Solution

The third proportional to 40,475 and 61,277 is: 92,770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,475 : 61,277 = 61,277 : x
  2. Step 2: Convert to fraction form
    40,475/61,277 = 61,277/x
  3. Step 3: Cross multiply
    40,475x = 61,277 × 61,277
  4. Step 4: Simplify right side
    40,475x = 3,754,870,729
  5. Step 5: Solve for x
    x = 3,754,870,729/40,475
  6. Step 6: Final answer
    x = 92,770.12

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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.