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Finding the Third Proportional to 2,384.02 and 4,832.92

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Solution

The third proportional to 2,384.02 and 4,832.92 is: 9,797.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.02 : 4,832.92 = 4,832.92 : x
  2. Step 2: Convert to fraction form
    2,384.02/4,832.92 = 4,832.92/x
  3. Step 3: Cross multiply
    2,384.02x = 4,832.92 × 4,832.92
  4. Step 4: Simplify right side
    2,384.02x = 23,357,092.55
  5. Step 5: Solve for x
    x = 23,357,092.55/2,384.02
  6. Step 6: Final answer
    x = 9,797.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.