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Finding the Third Proportional to 13,020.75 and 29,053.69

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Solution

The third proportional to 13,020.75 and 29,053.69 is: 64,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.75 : 29,053.69 = 29,053.69 : x
  2. Step 2: Convert to fraction form
    13,020.75/29,053.69 = 29,053.69/x
  3. Step 3: Cross multiply
    13,020.75x = 29,053.69 × 29,053.69
  4. Step 4: Simplify right side
    13,020.75x = 844,116,757.35
  5. Step 5: Solve for x
    x = 844,116,757.35/13,020.75
  6. Step 6: Final answer
    x = 64,828.58

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.