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Finding the Third Proportional to 10,996.50 and 17,041.50

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Solution

The third proportional to 10,996.50 and 17,041.50 is: 26,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.50 : 17,041.50 = 17,041.50 : x
  2. Step 2: Convert to fraction form
    10,996.50/17,041.50 = 17,041.50/x
  3. Step 3: Cross multiply
    10,996.50x = 17,041.50 × 17,041.50
  4. Step 4: Simplify right side
    10,996.50x = 290,412,722.25
  5. Step 5: Solve for x
    x = 290,412,722.25/10,996.50
  6. Step 6: Final answer
    x = 26,409.56

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Why These Related Problems?

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