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Finding the Third Proportional to 20,974 and 44,386

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Solution

The third proportional to 20,974 and 44,386 is: 93,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,974 : 44,386 = 44,386 : x
  2. Step 2: Convert to fraction form
    20,974/44,386 = 44,386/x
  3. Step 3: Cross multiply
    20,974x = 44,386 × 44,386
  4. Step 4: Simplify right side
    20,974x = 1,970,116,996
  5. Step 5: Solve for x
    x = 1,970,116,996/20,974
  6. Step 6: Final answer
    x = 93,931.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.