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Finding the Third Proportional to 22,321 and 34,584

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Solution

The third proportional to 22,321 and 34,584 is: 53,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,321 : 34,584 = 34,584 : x
  2. Step 2: Convert to fraction form
    22,321/34,584 = 34,584/x
  3. Step 3: Cross multiply
    22,321x = 34,584 × 34,584
  4. Step 4: Simplify right side
    22,321x = 1,196,053,056
  5. Step 5: Solve for x
    x = 1,196,053,056/22,321
  6. Step 6: Final answer
    x = 53,584.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.