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Finding the Third Proportional to 13,218.19 and 29,764.69

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Solution

The third proportional to 13,218.19 and 29,764.69 is: 67,024.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218.19 : 29,764.69 = 29,764.69 : x
  2. Step 2: Convert to fraction form
    13,218.19/29,764.69 = 29,764.69/x
  3. Step 3: Cross multiply
    13,218.19x = 29,764.69 × 29,764.69
  4. Step 4: Simplify right side
    13,218.19x = 885,936,621.97
  5. Step 5: Solve for x
    x = 885,936,621.97/13,218.19
  6. Step 6: Final answer
    x = 67,024.06

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.