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Finding the Third Proportional to 34,320.50 and 51,179

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Solution

The third proportional to 34,320.50 and 51,179 is: 76,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,320.50 : 51,179 = 51,179 : x
  2. Step 2: Convert to fraction form
    34,320.50/51,179 = 51,179/x
  3. Step 3: Cross multiply
    34,320.50x = 51,179 × 51,179
  4. Step 4: Simplify right side
    34,320.50x = 2,619,290,041
  5. Step 5: Solve for x
    x = 2,619,290,041/34,320.50
  6. Step 6: Final answer
    x = 76,318.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.