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Finding the Third Proportional to 2,265.75 and 2,993.06

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Solution

The third proportional to 2,265.75 and 2,993.06 is: 3,953.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.75 : 2,993.06 = 2,993.06 : x
  2. Step 2: Convert to fraction form
    2,265.75/2,993.06 = 2,993.06/x
  3. Step 3: Cross multiply
    2,265.75x = 2,993.06 × 2,993.06
  4. Step 4: Simplify right side
    2,265.75x = 8,958,423.13
  5. Step 5: Solve for x
    x = 8,958,423.13/2,265.75
  6. Step 6: Final answer
    x = 3,953.84

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.