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Finding the Third Proportional to 3,024.84 and 4,180.36

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Solution

The third proportional to 3,024.84 and 4,180.36 is: 5,777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.84 : 4,180.36 = 4,180.36 : x
  2. Step 2: Convert to fraction form
    3,024.84/4,180.36 = 4,180.36/x
  3. Step 3: Cross multiply
    3,024.84x = 4,180.36 × 4,180.36
  4. Step 4: Simplify right side
    3,024.84x = 17,475,404.50
  5. Step 5: Solve for x
    x = 17,475,404.50/3,024.84
  6. Step 6: Final answer
    x = 5,777.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.