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Finding the Third Proportional to 4,113 and 4,832

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Solution

The third proportional to 4,113 and 4,832 is: 5,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113 : 4,832 = 4,832 : x
  2. Step 2: Convert to fraction form
    4,113/4,832 = 4,832/x
  3. Step 3: Cross multiply
    4,113x = 4,832 × 4,832
  4. Step 4: Simplify right side
    4,113x = 23,348,224
  5. Step 5: Solve for x
    x = 23,348,224/4,113
  6. Step 6: Final answer
    x = 5,676.69

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.