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Finding the Third Proportional to 5,728.06 and 11,936.66

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Solution

The third proportional to 5,728.06 and 11,936.66 is: 24,874.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.06 : 11,936.66 = 11,936.66 : x
  2. Step 2: Convert to fraction form
    5,728.06/11,936.66 = 11,936.66/x
  3. Step 3: Cross multiply
    5,728.06x = 11,936.66 × 11,936.66
  4. Step 4: Simplify right side
    5,728.06x = 142,483,925.63
  5. Step 5: Solve for x
    x = 142,483,925.63/5,728.06
  6. Step 6: Final answer
    x = 24,874.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.