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Finding the Third Proportional to 5,350 and 5,890

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Solution

The third proportional to 5,350 and 5,890 is: 6,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,350 : 5,890 = 5,890 : x
  2. Step 2: Convert to fraction form
    5,350/5,890 = 5,890/x
  3. Step 3: Cross multiply
    5,350x = 5,890 × 5,890
  4. Step 4: Simplify right side
    5,350x = 34,692,100
  5. Step 5: Solve for x
    x = 34,692,100/5,350
  6. Step 6: Final answer
    x = 6,484.50

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.