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Finding the Third Proportional to 2,022.47 and 4,265.16

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Solution

The third proportional to 2,022.47 and 4,265.16 is: 8,994.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.47 : 4,265.16 = 4,265.16 : x
  2. Step 2: Convert to fraction form
    2,022.47/4,265.16 = 4,265.16/x
  3. Step 3: Cross multiply
    2,022.47x = 4,265.16 × 4,265.16
  4. Step 4: Simplify right side
    2,022.47x = 18,191,557.84
  5. Step 5: Solve for x
    x = 18,191,557.84/2,022.47
  6. Step 6: Final answer
    x = 8,994.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.