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Finding the Third Proportional to 5,351 and 7,101.50

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Solution

The third proportional to 5,351 and 7,101.50 is: 9,424.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351 : 7,101.50 = 7,101.50 : x
  2. Step 2: Convert to fraction form
    5,351/7,101.50 = 7,101.50/x
  3. Step 3: Cross multiply
    5,351x = 7,101.50 × 7,101.50
  4. Step 4: Simplify right side
    5,351x = 50,431,302.25
  5. Step 5: Solve for x
    x = 50,431,302.25/5,351
  6. Step 6: Final answer
    x = 9,424.65

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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.