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Finding the Third Proportional to 11,557.69 and 26,206.03

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Solution

The third proportional to 11,557.69 and 26,206.03 is: 59,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.69 : 26,206.03 = 26,206.03 : x
  2. Step 2: Convert to fraction form
    11,557.69/26,206.03 = 26,206.03/x
  3. Step 3: Cross multiply
    11,557.69x = 26,206.03 × 26,206.03
  4. Step 4: Simplify right side
    11,557.69x = 686,756,073.88
  5. Step 5: Solve for x
    x = 686,756,073.88/11,557.69
  6. Step 6: Final answer
    x = 59,419.85

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.