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Finding the Third Proportional to 8,596.50 and 11,598.75

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Solution

The third proportional to 8,596.50 and 11,598.75 is: 15,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.50 : 11,598.75 = 11,598.75 : x
  2. Step 2: Convert to fraction form
    8,596.50/11,598.75 = 11,598.75/x
  3. Step 3: Cross multiply
    8,596.50x = 11,598.75 × 11,598.75
  4. Step 4: Simplify right side
    8,596.50x = 134,531,001.56
  5. Step 5: Solve for x
    x = 134,531,001.56/8,596.50
  6. Step 6: Final answer
    x = 15,649.51

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Why These Related Problems?

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