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Finding the Third Proportional to 7,691.63 and 10,998.56

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Solution

The third proportional to 7,691.63 and 10,998.56 is: 15,727.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.63 : 10,998.56 = 10,998.56 : x
  2. Step 2: Convert to fraction form
    7,691.63/10,998.56 = 10,998.56/x
  3. Step 3: Cross multiply
    7,691.63x = 10,998.56 × 10,998.56
  4. Step 4: Simplify right side
    7,691.63x = 120,968,377.07
  5. Step 5: Solve for x
    x = 120,968,377.07/7,691.63
  6. Step 6: Final answer
    x = 15,727.28

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.