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Finding the Third Proportional to 2,292.25 and 3,384.25

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Solution

The third proportional to 2,292.25 and 3,384.25 is: 4,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.25 : 3,384.25 = 3,384.25 : x
  2. Step 2: Convert to fraction form
    2,292.25/3,384.25 = 3,384.25/x
  3. Step 3: Cross multiply
    2,292.25x = 3,384.25 × 3,384.25
  4. Step 4: Simplify right side
    2,292.25x = 11,453,148.06
  5. Step 5: Solve for x
    x = 11,453,148.06/2,292.25
  6. Step 6: Final answer
    x = 4,996.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.