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Finding the Third Proportional to 6,309.56 and 13,029.19

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Solution

The third proportional to 6,309.56 and 13,029.19 is: 26,905.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.56 : 13,029.19 = 13,029.19 : x
  2. Step 2: Convert to fraction form
    6,309.56/13,029.19 = 13,029.19/x
  3. Step 3: Cross multiply
    6,309.56x = 13,029.19 × 13,029.19
  4. Step 4: Simplify right side
    6,309.56x = 169,759,726.91
  5. Step 5: Solve for x
    x = 169,759,726.91/6,309.56
  6. Step 6: Final answer
    x = 26,905.15

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.