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Finding the Third Proportional to 31,476 and 61,356.75

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Solution

The third proportional to 31,476 and 61,356.75 is: 119,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,476 : 61,356.75 = 61,356.75 : x
  2. Step 2: Convert to fraction form
    31,476/61,356.75 = 61,356.75/x
  3. Step 3: Cross multiply
    31,476x = 61,356.75 × 61,356.75
  4. Step 4: Simplify right side
    31,476x = 3,764,650,770.56
  5. Step 5: Solve for x
    x = 3,764,650,770.56/31,476
  6. Step 6: Final answer
    x = 119,603.85

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.