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Finding the Third Proportional to 1,635.19 and 3,532.22

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Solution

The third proportional to 1,635.19 and 3,532.22 is: 7,630.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.19 : 3,532.22 = 3,532.22 : x
  2. Step 2: Convert to fraction form
    1,635.19/3,532.22 = 3,532.22/x
  3. Step 3: Cross multiply
    1,635.19x = 3,532.22 × 3,532.22
  4. Step 4: Simplify right side
    1,635.19x = 12,476,569.30
  5. Step 5: Solve for x
    x = 12,476,569.30/1,635.19
  6. Step 6: Final answer
    x = 7,630.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.