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Finding the Third Proportional to 22,280 and 35,524

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Solution

The third proportional to 22,280 and 35,524 is: 56,640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,280 : 35,524 = 35,524 : x
  2. Step 2: Convert to fraction form
    22,280/35,524 = 35,524/x
  3. Step 3: Cross multiply
    22,280x = 35,524 × 35,524
  4. Step 4: Simplify right side
    22,280x = 1,261,954,576
  5. Step 5: Solve for x
    x = 1,261,954,576/22,280
  6. Step 6: Final answer
    x = 56,640.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.