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Finding the Third Proportional to 6,026.27 and 13,089.06

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Solution

The third proportional to 6,026.27 and 13,089.06 is: 28,429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026.27 : 13,089.06 = 13,089.06 : x
  2. Step 2: Convert to fraction form
    6,026.27/13,089.06 = 13,089.06/x
  3. Step 3: Cross multiply
    6,026.27x = 13,089.06 × 13,089.06
  4. Step 4: Simplify right side
    6,026.27x = 171,323,454.87
  5. Step 5: Solve for x
    x = 171,323,454.87/6,026.27
  6. Step 6: Final answer
    x = 28,429.42

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Why These Related Problems?

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