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Finding the Third Proportional to 1,861.13 and 2,534.44

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Solution

The third proportional to 1,861.13 and 2,534.44 is: 3,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.13 : 2,534.44 = 2,534.44 : x
  2. Step 2: Convert to fraction form
    1,861.13/2,534.44 = 2,534.44/x
  3. Step 3: Cross multiply
    1,861.13x = 2,534.44 × 2,534.44
  4. Step 4: Simplify right side
    1,861.13x = 6,423,373.44
  5. Step 5: Solve for x
    x = 6,423,373.44/1,861.13
  6. Step 6: Final answer
    x = 3,451.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.