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Finding the Third Proportional to 2,554.51 and 3,432.85

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Solution

The third proportional to 2,554.51 and 3,432.85 is: 4,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.51 : 3,432.85 = 3,432.85 : x
  2. Step 2: Convert to fraction form
    2,554.51/3,432.85 = 3,432.85/x
  3. Step 3: Cross multiply
    2,554.51x = 3,432.85 × 3,432.85
  4. Step 4: Simplify right side
    2,554.51x = 11,784,456.44
  5. Step 5: Solve for x
    x = 11,784,456.44/2,554.51
  6. Step 6: Final answer
    x = 4,613.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.