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Finding the Third Proportional to 2,281.64 and 3,523.22

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Solution

The third proportional to 2,281.64 and 3,523.22 is: 5,440.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.64 : 3,523.22 = 3,523.22 : x
  2. Step 2: Convert to fraction form
    2,281.64/3,523.22 = 3,523.22/x
  3. Step 3: Cross multiply
    2,281.64x = 3,523.22 × 3,523.22
  4. Step 4: Simplify right side
    2,281.64x = 12,413,070.36
  5. Step 5: Solve for x
    x = 12,413,070.36/2,281.64
  6. Step 6: Final answer
    x = 5,440.41

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Why These Related Problems?

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