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Finding the Third Proportional to 5,859 and 8,700

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Solution

The third proportional to 5,859 and 8,700 is: 12,918.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859 : 8,700 = 8,700 : x
  2. Step 2: Convert to fraction form
    5,859/8,700 = 8,700/x
  3. Step 3: Cross multiply
    5,859x = 8,700 × 8,700
  4. Step 4: Simplify right side
    5,859x = 75,690,000
  5. Step 5: Solve for x
    x = 75,690,000/5,859
  6. Step 6: Final answer
    x = 12,918.59

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.