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Finding the Third Proportional to 22,696 and 31,746

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Solution

The third proportional to 22,696 and 31,746 is: 44,404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696 : 31,746 = 31,746 : x
  2. Step 2: Convert to fraction form
    22,696/31,746 = 31,746/x
  3. Step 3: Cross multiply
    22,696x = 31,746 × 31,746
  4. Step 4: Simplify right side
    22,696x = 1,007,808,516
  5. Step 5: Solve for x
    x = 1,007,808,516/22,696
  6. Step 6: Final answer
    x = 44,404.68

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.