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Finding the Third Proportional to 2,333 and 4,432

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Solution

The third proportional to 2,333 and 4,432 is: 8,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333 : 4,432 = 4,432 : x
  2. Step 2: Convert to fraction form
    2,333/4,432 = 4,432/x
  3. Step 3: Cross multiply
    2,333x = 4,432 × 4,432
  4. Step 4: Simplify right side
    2,333x = 19,642,624
  5. Step 5: Solve for x
    x = 19,642,624/2,333
  6. Step 6: Final answer
    x = 8,419.47

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.