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Finding the Third Proportional to 20,409 and 28,887

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Solution

The third proportional to 20,409 and 28,887 is: 40,886.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409 : 28,887 = 28,887 : x
  2. Step 2: Convert to fraction form
    20,409/28,887 = 28,887/x
  3. Step 3: Cross multiply
    20,409x = 28,887 × 28,887
  4. Step 4: Simplify right side
    20,409x = 834,458,769
  5. Step 5: Solve for x
    x = 834,458,769/20,409
  6. Step 6: Final answer
    x = 40,886.80

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.