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Finding the Third Proportional to 20,615 and 44,933

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Solution

The third proportional to 20,615 and 44,933 is: 97,937.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,615 : 44,933 = 44,933 : x
  2. Step 2: Convert to fraction form
    20,615/44,933 = 44,933/x
  3. Step 3: Cross multiply
    20,615x = 44,933 × 44,933
  4. Step 4: Simplify right side
    20,615x = 2,018,974,489
  5. Step 5: Solve for x
    x = 2,018,974,489/20,615
  6. Step 6: Final answer
    x = 97,937.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.