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Finding the Third Proportional to 49,376 and 76,464

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Solution

The third proportional to 49,376 and 76,464 is: 118,412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,376 : 76,464 = 76,464 : x
  2. Step 2: Convert to fraction form
    49,376/76,464 = 76,464/x
  3. Step 3: Cross multiply
    49,376x = 76,464 × 76,464
  4. Step 4: Simplify right side
    49,376x = 5,846,743,296
  5. Step 5: Solve for x
    x = 5,846,743,296/49,376
  6. Step 6: Final answer
    x = 118,412.66

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Why These Related Problems?

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