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Finding the Third Proportional to 23,346 and 49,972

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Solution

The third proportional to 23,346 and 49,972 is: 106,964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,346 : 49,972 = 49,972 : x
  2. Step 2: Convert to fraction form
    23,346/49,972 = 49,972/x
  3. Step 3: Cross multiply
    23,346x = 49,972 × 49,972
  4. Step 4: Simplify right side
    23,346x = 2,497,200,784
  5. Step 5: Solve for x
    x = 2,497,200,784/23,346
  6. Step 6: Final answer
    x = 106,964.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.