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Finding the Third Proportional to 51,672.15 and 77,508.22

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Solution

The third proportional to 51,672.15 and 77,508.22 is: 116,262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,672.15 : 77,508.22 = 77,508.22 : x
  2. Step 2: Convert to fraction form
    51,672.15/77,508.22 = 77,508.22/x
  3. Step 3: Cross multiply
    51,672.15x = 77,508.22 × 77,508.22
  4. Step 4: Simplify right side
    51,672.15x = 6,007,524,125.18
  5. Step 5: Solve for x
    x = 6,007,524,125.18/51,672.15
  6. Step 6: Final answer
    x = 116,262.33

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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.