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Finding the Third Proportional to 6,147.77 and 13,191.29

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Solution

The third proportional to 6,147.77 and 13,191.29 is: 28,304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.77 : 13,191.29 = 13,191.29 : x
  2. Step 2: Convert to fraction form
    6,147.77/13,191.29 = 13,191.29/x
  3. Step 3: Cross multiply
    6,147.77x = 13,191.29 × 13,191.29
  4. Step 4: Simplify right side
    6,147.77x = 174,010,210.19
  5. Step 5: Solve for x
    x = 174,010,210.19/6,147.77
  6. Step 6: Final answer
    x = 28,304.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.