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Finding the Third Proportional to 5,693.63 and 8,344.69

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Solution

The third proportional to 5,693.63 and 8,344.69 is: 12,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.63 : 8,344.69 = 8,344.69 : x
  2. Step 2: Convert to fraction form
    5,693.63/8,344.69 = 8,344.69/x
  3. Step 3: Cross multiply
    5,693.63x = 8,344.69 × 8,344.69
  4. Step 4: Simplify right side
    5,693.63x = 69,633,809.47
  5. Step 5: Solve for x
    x = 69,633,809.47/5,693.63
  6. Step 6: Final answer
    x = 12,230.14

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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.