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Finding the Third Proportional to 34,870.50 and 76,332.38

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Solution

The third proportional to 34,870.50 and 76,332.38 is: 167,093.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,870.50 : 76,332.38 = 76,332.38 : x
  2. Step 2: Convert to fraction form
    34,870.50/76,332.38 = 76,332.38/x
  3. Step 3: Cross multiply
    34,870.50x = 76,332.38 × 76,332.38
  4. Step 4: Simplify right side
    34,870.50x = 5,826,631,473.14
  5. Step 5: Solve for x
    x = 5,826,631,473.14/34,870.50
  6. Step 6: Final answer
    x = 167,093.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.