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Finding the Third Proportional to 7,145.72 and 9,196.03

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Solution

The third proportional to 7,145.72 and 9,196.03 is: 11,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.72 : 9,196.03 = 9,196.03 : x
  2. Step 2: Convert to fraction form
    7,145.72/9,196.03 = 9,196.03/x
  3. Step 3: Cross multiply
    7,145.72x = 9,196.03 × 9,196.03
  4. Step 4: Simplify right side
    7,145.72x = 84,566,990.75
  5. Step 5: Solve for x
    x = 84,566,990.75/7,145.72
  6. Step 6: Final answer
    x = 11,834.64

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.