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Finding the Third Proportional to 5,350 and 7,100.50

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Solution

The third proportional to 5,350 and 7,100.50 is: 9,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,350 : 7,100.50 = 7,100.50 : x
  2. Step 2: Convert to fraction form
    5,350/7,100.50 = 7,100.50/x
  3. Step 3: Cross multiply
    5,350x = 7,100.50 × 7,100.50
  4. Step 4: Simplify right side
    5,350x = 50,417,100.25
  5. Step 5: Solve for x
    x = 50,417,100.25/5,350
  6. Step 6: Final answer
    x = 9,423.76

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.