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Finding the Third Proportional to 5,657.06 and 8,314.88

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Solution

The third proportional to 5,657.06 and 8,314.88 is: 12,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.06 : 8,314.88 = 8,314.88 : x
  2. Step 2: Convert to fraction form
    5,657.06/8,314.88 = 8,314.88/x
  3. Step 3: Cross multiply
    5,657.06x = 8,314.88 × 8,314.88
  4. Step 4: Simplify right side
    5,657.06x = 69,137,146.27
  5. Step 5: Solve for x
    x = 69,137,146.27/5,657.06
  6. Step 6: Final answer
    x = 12,221.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.