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Finding the Third Proportional to 21,948 and 47,442

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Solution

The third proportional to 21,948 and 47,442 is: 102,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,948 : 47,442 = 47,442 : x
  2. Step 2: Convert to fraction form
    21,948/47,442 = 47,442/x
  3. Step 3: Cross multiply
    21,948x = 47,442 × 47,442
  4. Step 4: Simplify right side
    21,948x = 2,250,743,364
  5. Step 5: Solve for x
    x = 2,250,743,364/21,948
  6. Step 6: Final answer
    x = 102,548.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.