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Finding the Third Proportional to 3,024.84 and 5,313.09

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Solution

The third proportional to 3,024.84 and 5,313.09 is: 9,332.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.84 : 5,313.09 = 5,313.09 : x
  2. Step 2: Convert to fraction form
    3,024.84/5,313.09 = 5,313.09/x
  3. Step 3: Cross multiply
    3,024.84x = 5,313.09 × 5,313.09
  4. Step 4: Simplify right side
    3,024.84x = 28,228,965.20
  5. Step 5: Solve for x
    x = 28,228,965.20/3,024.84
  6. Step 6: Final answer
    x = 9,332.37

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.