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Finding the Third Proportional to 10,438 and 21,972

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Solution

The third proportional to 10,438 and 21,972 is: 46,251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438 : 21,972 = 21,972 : x
  2. Step 2: Convert to fraction form
    10,438/21,972 = 21,972/x
  3. Step 3: Cross multiply
    10,438x = 21,972 × 21,972
  4. Step 4: Simplify right side
    10,438x = 482,768,784
  5. Step 5: Solve for x
    x = 482,768,784/10,438
  6. Step 6: Final answer
    x = 46,251.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.