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Finding the Third Proportional to 5,099 and 7,847

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Solution

The third proportional to 5,099 and 7,847 is: 12,075.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099 : 7,847 = 7,847 : x
  2. Step 2: Convert to fraction form
    5,099/7,847 = 7,847/x
  3. Step 3: Cross multiply
    5,099x = 7,847 × 7,847
  4. Step 4: Simplify right side
    5,099x = 61,575,409
  5. Step 5: Solve for x
    x = 61,575,409/5,099
  6. Step 6: Final answer
    x = 12,075.98

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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.