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Finding the Third Proportional to 21,195 and 44,433

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Solution

The third proportional to 21,195 and 44,433 is: 93,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,195 : 44,433 = 44,433 : x
  2. Step 2: Convert to fraction form
    21,195/44,433 = 44,433/x
  3. Step 3: Cross multiply
    21,195x = 44,433 × 44,433
  4. Step 4: Simplify right side
    21,195x = 1,974,291,489
  5. Step 5: Solve for x
    x = 1,974,291,489/21,195
  6. Step 6: Final answer
    x = 93,148.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.