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Finding the Third Proportional to 10,981 and 17,028.50

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Solution

The third proportional to 10,981 and 17,028.50 is: 26,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981 : 17,028.50 = 17,028.50 : x
  2. Step 2: Convert to fraction form
    10,981/17,028.50 = 17,028.50/x
  3. Step 3: Cross multiply
    10,981x = 17,028.50 × 17,028.50
  4. Step 4: Simplify right side
    10,981x = 289,969,812.25
  5. Step 5: Solve for x
    x = 289,969,812.25/10,981
  6. Step 6: Final answer
    x = 26,406.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.