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Finding the Third Proportional to 2,700.42 and 5,586.89

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Solution

The third proportional to 2,700.42 and 5,586.89 is: 11,558.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.42 : 5,586.89 = 5,586.89 : x
  2. Step 2: Convert to fraction form
    2,700.42/5,586.89 = 5,586.89/x
  3. Step 3: Cross multiply
    2,700.42x = 5,586.89 × 5,586.89
  4. Step 4: Simplify right side
    2,700.42x = 31,213,346.86
  5. Step 5: Solve for x
    x = 31,213,346.86/2,700.42
  6. Step 6: Final answer
    x = 11,558.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.