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Finding the Third Proportional to 10,984.75 and 17,023.25

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Solution

The third proportional to 10,984.75 and 17,023.25 is: 26,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.75 : 17,023.25 = 17,023.25 : x
  2. Step 2: Convert to fraction form
    10,984.75/17,023.25 = 17,023.25/x
  3. Step 3: Cross multiply
    10,984.75x = 17,023.25 × 17,023.25
  4. Step 4: Simplify right side
    10,984.75x = 289,791,040.56
  5. Step 5: Solve for x
    x = 289,791,040.56/10,984.75
  6. Step 6: Final answer
    x = 26,381.21

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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.