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Finding the Third Proportional to 4,552.88 and 7,021.69

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Solution

The third proportional to 4,552.88 and 7,021.69 is: 10,829.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.88 : 7,021.69 = 7,021.69 : x
  2. Step 2: Convert to fraction form
    4,552.88/7,021.69 = 7,021.69/x
  3. Step 3: Cross multiply
    4,552.88x = 7,021.69 × 7,021.69
  4. Step 4: Simplify right side
    4,552.88x = 49,304,095.35
  5. Step 5: Solve for x
    x = 49,304,095.35/4,552.88
  6. Step 6: Final answer
    x = 10,829.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.