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Finding the Third Proportional to 13,451.06 and 29,618.16

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Solution

The third proportional to 13,451.06 and 29,618.16 is: 65,216.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,451.06 : 29,618.16 = 29,618.16 : x
  2. Step 2: Convert to fraction form
    13,451.06/29,618.16 = 29,618.16/x
  3. Step 3: Cross multiply
    13,451.06x = 29,618.16 × 29,618.16
  4. Step 4: Simplify right side
    13,451.06x = 877,235,179.65
  5. Step 5: Solve for x
    x = 877,235,179.65/13,451.06
  6. Step 6: Final answer
    x = 65,216.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.