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Finding the Third Proportional to 20,123 and 46,559

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Solution

The third proportional to 20,123 and 46,559 is: 107,724.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123 : 46,559 = 46,559 : x
  2. Step 2: Convert to fraction form
    20,123/46,559 = 46,559/x
  3. Step 3: Cross multiply
    20,123x = 46,559 × 46,559
  4. Step 4: Simplify right side
    20,123x = 2,167,740,481
  5. Step 5: Solve for x
    x = 2,167,740,481/20,123
  6. Step 6: Final answer
    x = 107,724.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.