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Finding the Third Proportional to 3,574.13 and 3,820.92

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Solution

The third proportional to 3,574.13 and 3,820.92 is: 4,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.13 : 3,820.92 = 3,820.92 : x
  2. Step 2: Convert to fraction form
    3,574.13/3,820.92 = 3,820.92/x
  3. Step 3: Cross multiply
    3,574.13x = 3,820.92 × 3,820.92
  4. Step 4: Simplify right side
    3,574.13x = 14,599,443.97
  5. Step 5: Solve for x
    x = 14,599,443.97/3,574.13
  6. Step 6: Final answer
    x = 4,084.76

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.