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Finding the Third Proportional to 5,143 and 6,500

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Solution

The third proportional to 5,143 and 6,500 is: 8,215.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143 : 6,500 = 6,500 : x
  2. Step 2: Convert to fraction form
    5,143/6,500 = 6,500/x
  3. Step 3: Cross multiply
    5,143x = 6,500 × 6,500
  4. Step 4: Simplify right side
    5,143x = 42,250,000
  5. Step 5: Solve for x
    x = 42,250,000/5,143
  6. Step 6: Final answer
    x = 8,215.05

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.