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Finding the Third Proportional to 7,135.31 and 11,363.44

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Solution

The third proportional to 7,135.31 and 11,363.44 is: 18,096.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.31 : 11,363.44 = 11,363.44 : x
  2. Step 2: Convert to fraction form
    7,135.31/11,363.44 = 11,363.44/x
  3. Step 3: Cross multiply
    7,135.31x = 11,363.44 × 11,363.44
  4. Step 4: Simplify right side
    7,135.31x = 129,127,711.82
  5. Step 5: Solve for x
    x = 129,127,711.82/7,135.31
  6. Step 6: Final answer
    x = 18,096.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.