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Finding the Third Proportional to 22,423 and 51,680

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Solution

The third proportional to 22,423 and 51,680 is: 119,110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,423 : 51,680 = 51,680 : x
  2. Step 2: Convert to fraction form
    22,423/51,680 = 51,680/x
  3. Step 3: Cross multiply
    22,423x = 51,680 × 51,680
  4. Step 4: Simplify right side
    22,423x = 2,670,822,400
  5. Step 5: Solve for x
    x = 2,670,822,400/22,423
  6. Step 6: Final answer
    x = 119,110.84

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.