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Finding the Third Proportional to 2,526.84 and 5,475.56

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Solution

The third proportional to 2,526.84 and 5,475.56 is: 11,865.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.84 : 5,475.56 = 5,475.56 : x
  2. Step 2: Convert to fraction form
    2,526.84/5,475.56 = 5,475.56/x
  3. Step 3: Cross multiply
    2,526.84x = 5,475.56 × 5,475.56
  4. Step 4: Simplify right side
    2,526.84x = 29,981,784.69
  5. Step 5: Solve for x
    x = 29,981,784.69/2,526.84
  6. Step 6: Final answer
    x = 11,865.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.