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Finding the Third Proportional to 34,318.69 and 52,138.13

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Solution

The third proportional to 34,318.69 and 52,138.13 is: 79,210.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,318.69 : 52,138.13 = 52,138.13 : x
  2. Step 2: Convert to fraction form
    34,318.69/52,138.13 = 52,138.13/x
  3. Step 3: Cross multiply
    34,318.69x = 52,138.13 × 52,138.13
  4. Step 4: Simplify right side
    34,318.69x = 2,718,384,078.52
  5. Step 5: Solve for x
    x = 2,718,384,078.52/34,318.69
  6. Step 6: Final answer
    x = 79,210.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.