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Finding the Third Proportional to 3,748.15 and 6,246.49

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Solution

The third proportional to 3,748.15 and 6,246.49 is: 10,410.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.15 : 6,246.49 = 6,246.49 : x
  2. Step 2: Convert to fraction form
    3,748.15/6,246.49 = 6,246.49/x
  3. Step 3: Cross multiply
    3,748.15x = 6,246.49 × 6,246.49
  4. Step 4: Simplify right side
    3,748.15x = 39,018,664.65
  5. Step 5: Solve for x
    x = 39,018,664.65/3,748.15
  6. Step 6: Final answer
    x = 10,410.12

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.