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Finding the Third Proportional to 8,593.88 and 11,594.81

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Solution

The third proportional to 8,593.88 and 11,594.81 is: 15,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,593.88 : 11,594.81 = 11,594.81 : x
  2. Step 2: Convert to fraction form
    8,593.88/11,594.81 = 11,594.81/x
  3. Step 3: Cross multiply
    8,593.88x = 11,594.81 × 11,594.81
  4. Step 4: Simplify right side
    8,593.88x = 134,439,676.91
  5. Step 5: Solve for x
    x = 134,439,676.91/8,593.88
  6. Step 6: Final answer
    x = 15,643.66

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.