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Finding the Third Proportional to 5,761 and 8,911.50

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Solution

The third proportional to 5,761 and 8,911.50 is: 13,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761 : 8,911.50 = 8,911.50 : x
  2. Step 2: Convert to fraction form
    5,761/8,911.50 = 8,911.50/x
  3. Step 3: Cross multiply
    5,761x = 8,911.50 × 8,911.50
  4. Step 4: Simplify right side
    5,761x = 79,414,832.25
  5. Step 5: Solve for x
    x = 79,414,832.25/5,761
  6. Step 6: Final answer
    x = 13,784.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.