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Finding the Third Proportional to 4,051.13 and 6,081.19

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Solution

The third proportional to 4,051.13 and 6,081.19 is: 9,128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.13 : 6,081.19 = 6,081.19 : x
  2. Step 2: Convert to fraction form
    4,051.13/6,081.19 = 6,081.19/x
  3. Step 3: Cross multiply
    4,051.13x = 6,081.19 × 6,081.19
  4. Step 4: Simplify right side
    4,051.13x = 36,980,841.41
  5. Step 5: Solve for x
    x = 36,980,841.41/4,051.13
  6. Step 6: Final answer
    x = 9,128.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.