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Finding the Third Proportional to 2,115.56 and 4,937.06

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Solution

The third proportional to 2,115.56 and 4,937.06 is: 11,521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.56 : 4,937.06 = 4,937.06 : x
  2. Step 2: Convert to fraction form
    2,115.56/4,937.06 = 4,937.06/x
  3. Step 3: Cross multiply
    2,115.56x = 4,937.06 × 4,937.06
  4. Step 4: Simplify right side
    2,115.56x = 24,374,586.13
  5. Step 5: Solve for x
    x = 24,374,586.13/2,115.56
  6. Step 6: Final answer
    x = 11,521.56

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.