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Finding the Third Proportional to 49,478 and 76,670

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Solution

The third proportional to 49,478 and 76,670 is: 118,806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,478 : 76,670 = 76,670 : x
  2. Step 2: Convert to fraction form
    49,478/76,670 = 76,670/x
  3. Step 3: Cross multiply
    49,478x = 76,670 × 76,670
  4. Step 4: Simplify right side
    49,478x = 5,878,288,900
  5. Step 5: Solve for x
    x = 5,878,288,900/49,478
  6. Step 6: Final answer
    x = 118,806.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.