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Finding the Third Proportional to 6,162.33 and 13,475.11

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Solution

The third proportional to 6,162.33 and 13,475.11 is: 29,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.33 : 13,475.11 = 13,475.11 : x
  2. Step 2: Convert to fraction form
    6,162.33/13,475.11 = 13,475.11/x
  3. Step 3: Cross multiply
    6,162.33x = 13,475.11 × 13,475.11
  4. Step 4: Simplify right side
    6,162.33x = 181,578,572.67
  5. Step 5: Solve for x
    x = 181,578,572.67/6,162.33
  6. Step 6: Final answer
    x = 29,465.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.