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Finding the Third Proportional to 5,309.93 and 8,193.66

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Solution

The third proportional to 5,309.93 and 8,193.66 is: 12,643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.93 : 8,193.66 = 8,193.66 : x
  2. Step 2: Convert to fraction form
    5,309.93/8,193.66 = 8,193.66/x
  3. Step 3: Cross multiply
    5,309.93x = 8,193.66 × 8,193.66
  4. Step 4: Simplify right side
    5,309.93x = 67,136,002.74
  5. Step 5: Solve for x
    x = 67,136,002.74/5,309.93
  6. Step 6: Final answer
    x = 12,643.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.