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Finding the Third Proportional to 22,280 and 30,944

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Solution

The third proportional to 22,280 and 30,944 is: 42,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,280 : 30,944 = 30,944 : x
  2. Step 2: Convert to fraction form
    22,280/30,944 = 30,944/x
  3. Step 3: Cross multiply
    22,280x = 30,944 × 30,944
  4. Step 4: Simplify right side
    22,280x = 957,531,136
  5. Step 5: Solve for x
    x = 957,531,136/22,280
  6. Step 6: Final answer
    x = 42,977.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.