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Finding the Third Proportional to 21,971 and 48,315

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Solution

The third proportional to 21,971 and 48,315 is: 106,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,971 : 48,315 = 48,315 : x
  2. Step 2: Convert to fraction form
    21,971/48,315 = 48,315/x
  3. Step 3: Cross multiply
    21,971x = 48,315 × 48,315
  4. Step 4: Simplify right side
    21,971x = 2,334,339,225
  5. Step 5: Solve for x
    x = 2,334,339,225/21,971
  6. Step 6: Final answer
    x = 106,246.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.