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Finding the Third Proportional to 6,458.63 and 13,191.19

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Solution

The third proportional to 6,458.63 and 13,191.19 is: 26,941.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.63 : 13,191.19 = 13,191.19 : x
  2. Step 2: Convert to fraction form
    6,458.63/13,191.19 = 13,191.19/x
  3. Step 3: Cross multiply
    6,458.63x = 13,191.19 × 13,191.19
  4. Step 4: Simplify right side
    6,458.63x = 174,007,427.66
  5. Step 5: Solve for x
    x = 174,007,427.66/6,458.63
  6. Step 6: Final answer
    x = 26,941.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.