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Finding the Third Proportional to 5,432.06 and 8,405.44

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Solution

The third proportional to 5,432.06 and 8,405.44 is: 13,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.06 : 8,405.44 = 8,405.44 : x
  2. Step 2: Convert to fraction form
    5,432.06/8,405.44 = 8,405.44/x
  3. Step 3: Cross multiply
    5,432.06x = 8,405.44 × 8,405.44
  4. Step 4: Simplify right side
    5,432.06x = 70,651,379.57
  5. Step 5: Solve for x
    x = 70,651,379.57/5,432.06
  6. Step 6: Final answer
    x = 13,006.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.