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Finding the Third Proportional to 5,123.25 and 10,434.50

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Solution

The third proportional to 5,123.25 and 10,434.50 is: 21,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.25 : 10,434.50 = 10,434.50 : x
  2. Step 2: Convert to fraction form
    5,123.25/10,434.50 = 10,434.50/x
  3. Step 3: Cross multiply
    5,123.25x = 10,434.50 × 10,434.50
  4. Step 4: Simplify right side
    5,123.25x = 108,878,790.25
  5. Step 5: Solve for x
    x = 108,878,790.25/5,123.25
  6. Step 6: Final answer
    x = 21,251.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.