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Finding the Third Proportional to 7,135.03 and 11,363.16

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Solution

The third proportional to 7,135.03 and 11,363.16 is: 18,096.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.03 : 11,363.16 = 11,363.16 : x
  2. Step 2: Convert to fraction form
    7,135.03/11,363.16 = 11,363.16/x
  3. Step 3: Cross multiply
    7,135.03x = 11,363.16 × 11,363.16
  4. Step 4: Simplify right side
    7,135.03x = 129,121,319.96
  5. Step 5: Solve for x
    x = 129,121,319.96/7,135.03
  6. Step 6: Final answer
    x = 18,096.81

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Why These Related Problems?

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