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Finding the Third Proportional to 4,091.63 and 6,297.19

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Solution

The third proportional to 4,091.63 and 6,297.19 is: 9,691.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.63 : 6,297.19 = 6,297.19 : x
  2. Step 2: Convert to fraction form
    4,091.63/6,297.19 = 6,297.19/x
  3. Step 3: Cross multiply
    4,091.63x = 6,297.19 × 6,297.19
  4. Step 4: Simplify right side
    4,091.63x = 39,654,570.41
  5. Step 5: Solve for x
    x = 39,654,570.41/4,091.63
  6. Step 6: Final answer
    x = 9,691.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.