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Finding the Third Proportional to 6,165.91 and 13,317.06

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Solution

The third proportional to 6,165.91 and 13,317.06 is: 28,762.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.91 : 13,317.06 = 13,317.06 : x
  2. Step 2: Convert to fraction form
    6,165.91/13,317.06 = 13,317.06/x
  3. Step 3: Cross multiply
    6,165.91x = 13,317.06 × 13,317.06
  4. Step 4: Simplify right side
    6,165.91x = 177,344,205.65
  5. Step 5: Solve for x
    x = 177,344,205.65/6,165.91
  6. Step 6: Final answer
    x = 28,762.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.