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Finding the Third Proportional to 1,638.67 and 3,536.68

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Solution

The third proportional to 1,638.67 and 3,536.68 is: 7,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.67 : 3,536.68 = 3,536.68 : x
  2. Step 2: Convert to fraction form
    1,638.67/3,536.68 = 3,536.68/x
  3. Step 3: Cross multiply
    1,638.67x = 3,536.68 × 3,536.68
  4. Step 4: Simplify right side
    1,638.67x = 12,508,130.84
  5. Step 5: Solve for x
    x = 12,508,130.84/1,638.67
  6. Step 6: Final answer
    x = 7,633.11

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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.