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Finding the Third Proportional to 3,383.23 and 4,972.32

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Solution

The third proportional to 3,383.23 and 4,972.32 is: 7,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.23 : 4,972.32 = 4,972.32 : x
  2. Step 2: Convert to fraction form
    3,383.23/4,972.32 = 4,972.32/x
  3. Step 3: Cross multiply
    3,383.23x = 4,972.32 × 4,972.32
  4. Step 4: Simplify right side
    3,383.23x = 24,724,008.14
  5. Step 5: Solve for x
    x = 24,724,008.14/3,383.23
  6. Step 6: Final answer
    x = 7,307.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.