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Finding the Third Proportional to 5,476.04 and 11,305.20

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Solution

The third proportional to 5,476.04 and 11,305.20 is: 23,339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.04 : 11,305.20 = 11,305.20 : x
  2. Step 2: Convert to fraction form
    5,476.04/11,305.20 = 11,305.20/x
  3. Step 3: Cross multiply
    5,476.04x = 11,305.20 × 11,305.20
  4. Step 4: Simplify right side
    5,476.04x = 127,807,441.05
  5. Step 5: Solve for x
    x = 127,807,441.05/5,476.04
  6. Step 6: Final answer
    x = 23,339.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.