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Finding the Third Proportional to 5,454.84 and 12,015.84

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Solution

The third proportional to 5,454.84 and 12,015.84 is: 26,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.84 : 12,015.84 = 12,015.84 : x
  2. Step 2: Convert to fraction form
    5,454.84/12,015.84 = 12,015.84/x
  3. Step 3: Cross multiply
    5,454.84x = 12,015.84 × 12,015.84
  4. Step 4: Simplify right side
    5,454.84x = 144,380,501.02
  5. Step 5: Solve for x
    x = 144,380,501.02/5,454.84
  6. Step 6: Final answer
    x = 26,468.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.