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Finding the Third Proportional to 6,006.66 and 8,853.05

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Solution

The third proportional to 6,006.66 and 8,853.05 is: 13,048.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006.66 : 8,853.05 = 8,853.05 : x
  2. Step 2: Convert to fraction form
    6,006.66/8,853.05 = 8,853.05/x
  3. Step 3: Cross multiply
    6,006.66x = 8,853.05 × 8,853.05
  4. Step 4: Simplify right side
    6,006.66x = 78,376,438.97
  5. Step 5: Solve for x
    x = 78,376,438.97/6,006.66
  6. Step 6: Final answer
    x = 13,048.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.