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Finding the Third Proportional to 2,123.72 and 4,600.97

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Solution

The third proportional to 2,123.72 and 4,600.97 is: 9,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.72 : 4,600.97 = 4,600.97 : x
  2. Step 2: Convert to fraction form
    2,123.72/4,600.97 = 4,600.97/x
  3. Step 3: Cross multiply
    2,123.72x = 4,600.97 × 4,600.97
  4. Step 4: Simplify right side
    2,123.72x = 21,168,913.44
  5. Step 5: Solve for x
    x = 21,168,913.44/2,123.72
  6. Step 6: Final answer
    x = 9,967.85

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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.