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Finding the Third Proportional to 6,006.19 and 13,026.38

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Solution

The third proportional to 6,006.19 and 13,026.38 is: 28,251.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006.19 : 13,026.38 = 13,026.38 : x
  2. Step 2: Convert to fraction form
    6,006.19/13,026.38 = 13,026.38/x
  3. Step 3: Cross multiply
    6,006.19x = 13,026.38 × 13,026.38
  4. Step 4: Simplify right side
    6,006.19x = 169,686,445.64
  5. Step 5: Solve for x
    x = 169,686,445.64/6,006.19
  6. Step 6: Final answer
    x = 28,251.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.