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Finding the Third Proportional to 4,026.16 and 6,020.58

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Solution

The third proportional to 4,026.16 and 6,020.58 is: 9,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,026.16 : 6,020.58 = 6,020.58 : x
  2. Step 2: Convert to fraction form
    4,026.16/6,020.58 = 6,020.58/x
  3. Step 3: Cross multiply
    4,026.16x = 6,020.58 × 6,020.58
  4. Step 4: Simplify right side
    4,026.16x = 36,247,360.96
  5. Step 5: Solve for x
    x = 36,247,360.96/4,026.16
  6. Step 6: Final answer
    x = 9,002.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.