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Finding the Third Proportional to 3,540.66 and 7,501.78

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Solution

The third proportional to 3,540.66 and 7,501.78 is: 15,894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.66 : 7,501.78 = 7,501.78 : x
  2. Step 2: Convert to fraction form
    3,540.66/7,501.78 = 7,501.78/x
  3. Step 3: Cross multiply
    3,540.66x = 7,501.78 × 7,501.78
  4. Step 4: Simplify right side
    3,540.66x = 56,276,721.92
  5. Step 5: Solve for x
    x = 56,276,721.92/3,540.66
  6. Step 6: Final answer
    x = 15,894.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.