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Finding the Third Proportional to 14,792 and 22,135

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Solution

The third proportional to 14,792 and 22,135 is: 33,123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,792 : 22,135 = 22,135 : x
  2. Step 2: Convert to fraction form
    14,792/22,135 = 22,135/x
  3. Step 3: Cross multiply
    14,792x = 22,135 × 22,135
  4. Step 4: Simplify right side
    14,792x = 489,958,225
  5. Step 5: Solve for x
    x = 489,958,225/14,792
  6. Step 6: Final answer
    x = 33,123.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.