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Finding the Third Proportional to 5,475.09 and 11,212.17

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Solution

The third proportional to 5,475.09 and 11,212.17 is: 22,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.09 : 11,212.17 = 11,212.17 : x
  2. Step 2: Convert to fraction form
    5,475.09/11,212.17 = 11,212.17/x
  3. Step 3: Cross multiply
    5,475.09x = 11,212.17 × 11,212.17
  4. Step 4: Simplify right side
    5,475.09x = 125,712,798.15
  5. Step 5: Solve for x
    x = 125,712,798.15/5,475.09
  6. Step 6: Final answer
    x = 22,960.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.