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Finding the Third Proportional to 4,023.42 and 8,802.42

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Solution

The third proportional to 4,023.42 and 8,802.42 is: 19,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,023.42 : 8,802.42 = 8,802.42 : x
  2. Step 2: Convert to fraction form
    4,023.42/8,802.42 = 8,802.42/x
  3. Step 3: Cross multiply
    4,023.42x = 8,802.42 × 8,802.42
  4. Step 4: Simplify right side
    4,023.42x = 77,482,630.87
  5. Step 5: Solve for x
    x = 77,482,630.87/4,023.42
  6. Step 6: Final answer
    x = 19,257.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.