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Finding the Third Proportional to 3,752.06 and 8,298.56

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Solution

The third proportional to 3,752.06 and 8,298.56 is: 18,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.06 : 8,298.56 = 8,298.56 : x
  2. Step 2: Convert to fraction form
    3,752.06/8,298.56 = 8,298.56/x
  3. Step 3: Cross multiply
    3,752.06x = 8,298.56 × 8,298.56
  4. Step 4: Simplify right side
    3,752.06x = 68,866,139.57
  5. Step 5: Solve for x
    x = 68,866,139.57/3,752.06
  6. Step 6: Final answer
    x = 18,354.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.