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Finding the Third Proportional to 5,436.70 and 11,909.95

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Solution

The third proportional to 5,436.70 and 11,909.95 is: 26,090.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436.70 : 11,909.95 = 11,909.95 : x
  2. Step 2: Convert to fraction form
    5,436.70/11,909.95 = 11,909.95/x
  3. Step 3: Cross multiply
    5,436.70x = 11,909.95 × 11,909.95
  4. Step 4: Simplify right side
    5,436.70x = 141,846,983.44
  5. Step 5: Solve for x
    x = 141,846,983.44/5,436.70
  6. Step 6: Final answer
    x = 26,090.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.