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Finding the Third Proportional to 5,244 and 7,860

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Solution

The third proportional to 5,244 and 7,860 is: 11,781.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244 : 7,860 = 7,860 : x
  2. Step 2: Convert to fraction form
    5,244/7,860 = 7,860/x
  3. Step 3: Cross multiply
    5,244x = 7,860 × 7,860
  4. Step 4: Simplify right side
    5,244x = 61,779,600
  5. Step 5: Solve for x
    x = 61,779,600/5,244
  6. Step 6: Final answer
    x = 11,781.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.