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Finding the Third Proportional to 3,538.69 and 8,801.16

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Solution

The third proportional to 3,538.69 and 8,801.16 is: 21,889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.69 : 8,801.16 = 8,801.16 : x
  2. Step 2: Convert to fraction form
    3,538.69/8,801.16 = 8,801.16/x
  3. Step 3: Cross multiply
    3,538.69x = 8,801.16 × 8,801.16
  4. Step 4: Simplify right side
    3,538.69x = 77,460,351.34
  5. Step 5: Solve for x
    x = 77,460,351.34/3,538.69
  6. Step 6: Final answer
    x = 21,889.57

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.