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Finding the Third Proportional to 813.66 and 1,899.14

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Solution

The third proportional to 813.66 and 1,899.14 is: 4,432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.66 : 1,899.14 = 1,899.14 : x
  2. Step 2: Convert to fraction form
    813.66/1,899.14 = 1,899.14/x
  3. Step 3: Cross multiply
    813.66x = 1,899.14 × 1,899.14
  4. Step 4: Simplify right side
    813.66x = 3,606,735.11
  5. Step 5: Solve for x
    x = 3,606,735.11/813.66
  6. Step 6: Final answer
    x = 4,432.75

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.