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Finding the Third Proportional to 6,117.19 and 7,494.19

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Solution

The third proportional to 6,117.19 and 7,494.19 is: 9,181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.19 : 7,494.19 = 7,494.19 : x
  2. Step 2: Convert to fraction form
    6,117.19/7,494.19 = 7,494.19/x
  3. Step 3: Cross multiply
    6,117.19x = 7,494.19 × 7,494.19
  4. Step 4: Simplify right side
    6,117.19x = 56,162,846.29
  5. Step 5: Solve for x
    x = 56,162,846.29/6,117.19
  6. Step 6: Final answer
    x = 9,181.15

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.