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Finding the Third Proportional to 20,012 and 46,331

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Solution

The third proportional to 20,012 and 46,331 is: 107,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,012 : 46,331 = 46,331 : x
  2. Step 2: Convert to fraction form
    20,012/46,331 = 46,331/x
  3. Step 3: Cross multiply
    20,012x = 46,331 × 46,331
  4. Step 4: Simplify right side
    20,012x = 2,146,561,561
  5. Step 5: Solve for x
    x = 2,146,561,561/20,012
  6. Step 6: Final answer
    x = 107,263.72

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.