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Finding the Third Proportional to 4,896 and 10,589

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Solution

The third proportional to 4,896 and 10,589 is: 22,901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896 : 10,589 = 10,589 : x
  2. Step 2: Convert to fraction form
    4,896/10,589 = 10,589/x
  3. Step 3: Cross multiply
    4,896x = 10,589 × 10,589
  4. Step 4: Simplify right side
    4,896x = 112,126,921
  5. Step 5: Solve for x
    x = 112,126,921/4,896
  6. Step 6: Final answer
    x = 22,901.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.