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Finding the Third Proportional to 20,106 and 30,887

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Solution

The third proportional to 20,106 and 30,887 is: 47,448.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106 : 30,887 = 30,887 : x
  2. Step 2: Convert to fraction form
    20,106/30,887 = 30,887/x
  3. Step 3: Cross multiply
    20,106x = 30,887 × 30,887
  4. Step 4: Simplify right side
    20,106x = 954,006,769
  5. Step 5: Solve for x
    x = 954,006,769/20,106
  6. Step 6: Final answer
    x = 47,448.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.