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Finding the Third Proportional to 5,111 and 7,848

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Solution

The third proportional to 5,111 and 7,848 is: 12,050.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111 : 7,848 = 7,848 : x
  2. Step 2: Convert to fraction form
    5,111/7,848 = 7,848/x
  3. Step 3: Cross multiply
    5,111x = 7,848 × 7,848
  4. Step 4: Simplify right side
    5,111x = 61,591,104
  5. Step 5: Solve for x
    x = 61,591,104/5,111
  6. Step 6: Final answer
    x = 12,050.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.