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Finding the Third Proportional to 10,696 and 22,972

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Solution

The third proportional to 10,696 and 22,972 is: 49,337.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696 : 22,972 = 22,972 : x
  2. Step 2: Convert to fraction form
    10,696/22,972 = 22,972/x
  3. Step 3: Cross multiply
    10,696x = 22,972 × 22,972
  4. Step 4: Simplify right side
    10,696x = 527,712,784
  5. Step 5: Solve for x
    x = 527,712,784/10,696
  6. Step 6: Final answer
    x = 49,337.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.