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Finding the Third Proportional to 7,598.91 and 11,367.98

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Solution

The third proportional to 7,598.91 and 11,367.98 is: 17,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,598.91 : 11,367.98 = 11,367.98 : x
  2. Step 2: Convert to fraction form
    7,598.91/11,367.98 = 11,367.98/x
  3. Step 3: Cross multiply
    7,598.91x = 11,367.98 × 11,367.98
  4. Step 4: Simplify right side
    7,598.91x = 129,231,068.75
  5. Step 5: Solve for x
    x = 129,231,068.75/7,598.91
  6. Step 6: Final answer
    x = 17,006.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.