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Finding the Third Proportional to 4,432 and 10,656

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Solution

The third proportional to 4,432 and 10,656 is: 25,620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432 : 10,656 = 10,656 : x
  2. Step 2: Convert to fraction form
    4,432/10,656 = 10,656/x
  3. Step 3: Cross multiply
    4,432x = 10,656 × 10,656
  4. Step 4: Simplify right side
    4,432x = 113,550,336
  5. Step 5: Solve for x
    x = 113,550,336/4,432
  6. Step 6: Final answer
    x = 25,620.56

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.