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Finding the Third Proportional to 3,340.13 and 3,807

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Solution

The third proportional to 3,340.13 and 3,807 is: 4,339.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.13 : 3,807 = 3,807 : x
  2. Step 2: Convert to fraction form
    3,340.13/3,807 = 3,807/x
  3. Step 3: Cross multiply
    3,340.13x = 3,807 × 3,807
  4. Step 4: Simplify right side
    3,340.13x = 14,493,249
  5. Step 5: Solve for x
    x = 14,493,249/3,340.13
  6. Step 6: Final answer
    x = 4,339.13

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.