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Finding the Third Proportional to 10,991.50 and 17,045

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Solution

The third proportional to 10,991.50 and 17,045 is: 26,432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.50 : 17,045 = 17,045 : x
  2. Step 2: Convert to fraction form
    10,991.50/17,045 = 17,045/x
  3. Step 3: Cross multiply
    10,991.50x = 17,045 × 17,045
  4. Step 4: Simplify right side
    10,991.50x = 290,532,025
  5. Step 5: Solve for x
    x = 290,532,025/10,991.50
  6. Step 6: Final answer
    x = 26,432.43

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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.