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Finding the Third Proportional to 46,768.50 and 71,320.13

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Solution

The third proportional to 46,768.50 and 71,320.13 is: 108,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,768.50 : 71,320.13 = 71,320.13 : x
  2. Step 2: Convert to fraction form
    46,768.50/71,320.13 = 71,320.13/x
  3. Step 3: Cross multiply
    46,768.50x = 71,320.13 × 71,320.13
  4. Step 4: Simplify right side
    46,768.50x = 5,086,560,230.02
  5. Step 5: Solve for x
    x = 5,086,560,230.02/46,768.50
  6. Step 6: Final answer
    x = 108,760.39

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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.