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Finding the Third Proportional to 22,684 and 48,880

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Solution

The third proportional to 22,684 and 48,880 is: 105,327.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684 : 48,880 = 48,880 : x
  2. Step 2: Convert to fraction form
    22,684/48,880 = 48,880/x
  3. Step 3: Cross multiply
    22,684x = 48,880 × 48,880
  4. Step 4: Simplify right side
    22,684x = 2,389,254,400
  5. Step 5: Solve for x
    x = 2,389,254,400/22,684
  6. Step 6: Final answer
    x = 105,327.74

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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.