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Finding the Third Proportional to 21,942 and 48,051

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Solution

The third proportional to 21,942 and 48,051 is: 105,227.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,942 : 48,051 = 48,051 : x
  2. Step 2: Convert to fraction form
    21,942/48,051 = 48,051/x
  3. Step 3: Cross multiply
    21,942x = 48,051 × 48,051
  4. Step 4: Simplify right side
    21,942x = 2,308,898,601
  5. Step 5: Solve for x
    x = 2,308,898,601/21,942
  6. Step 6: Final answer
    x = 105,227.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.