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Finding the Third Proportional to 1,854.56 and 4,118.34

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Solution

The third proportional to 1,854.56 and 4,118.34 is: 9,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.56 : 4,118.34 = 4,118.34 : x
  2. Step 2: Convert to fraction form
    1,854.56/4,118.34 = 4,118.34/x
  3. Step 3: Cross multiply
    1,854.56x = 4,118.34 × 4,118.34
  4. Step 4: Simplify right side
    1,854.56x = 16,960,755.24
  5. Step 5: Solve for x
    x = 16,960,755.24/1,854.56
  6. Step 6: Final answer
    x = 9,145.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.