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Finding the Third Proportional to 51,552.75 and 77,466

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Solution

The third proportional to 51,552.75 and 77,466 is: 116,404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,552.75 : 77,466 = 77,466 : x
  2. Step 2: Convert to fraction form
    51,552.75/77,466 = 77,466/x
  3. Step 3: Cross multiply
    51,552.75x = 77,466 × 77,466
  4. Step 4: Simplify right side
    51,552.75x = 6,000,981,156
  5. Step 5: Solve for x
    x = 6,000,981,156/51,552.75
  6. Step 6: Final answer
    x = 116,404.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.