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Finding the Third Proportional to 2,764.13 and 4,418.30

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Solution

The third proportional to 2,764.13 and 4,418.30 is: 7,062.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.13 : 4,418.30 = 4,418.30 : x
  2. Step 2: Convert to fraction form
    2,764.13/4,418.30 = 4,418.30/x
  3. Step 3: Cross multiply
    2,764.13x = 4,418.30 × 4,418.30
  4. Step 4: Simplify right side
    2,764.13x = 19,521,347.28
  5. Step 5: Solve for x
    x = 19,521,347.28/2,764.13
  6. Step 6: Final answer
    x = 7,062.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.