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Finding the Third Proportional to 5,657.64 and 8,313.26

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Solution

The third proportional to 5,657.64 and 8,313.26 is: 12,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.64 : 8,313.26 = 8,313.26 : x
  2. Step 2: Convert to fraction form
    5,657.64/8,313.26 = 8,313.26/x
  3. Step 3: Cross multiply
    5,657.64x = 8,313.26 × 8,313.26
  4. Step 4: Simplify right side
    5,657.64x = 69,110,255.46
  5. Step 5: Solve for x
    x = 69,110,255.46/5,657.64
  6. Step 6: Final answer
    x = 12,215.39

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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.