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Finding the Third Proportional to 3,221.02 and 4,922.02

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Solution

The third proportional to 3,221.02 and 4,922.02 is: 7,521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.02 : 4,922.02 = 4,922.02 : x
  2. Step 2: Convert to fraction form
    3,221.02/4,922.02 = 4,922.02/x
  3. Step 3: Cross multiply
    3,221.02x = 4,922.02 × 4,922.02
  4. Step 4: Simplify right side
    3,221.02x = 24,226,237.81
  5. Step 5: Solve for x
    x = 24,226,237.81/3,221.02
  6. Step 6: Final answer
    x = 7,521.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.