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Finding the Third Proportional to 22,305 and 32,619

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Solution

The third proportional to 22,305 and 32,619 is: 47,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,305 : 32,619 = 32,619 : x
  2. Step 2: Convert to fraction form
    22,305/32,619 = 32,619/x
  3. Step 3: Cross multiply
    22,305x = 32,619 × 32,619
  4. Step 4: Simplify right side
    22,305x = 1,063,999,161
  5. Step 5: Solve for x
    x = 1,063,999,161/22,305
  6. Step 6: Final answer
    x = 47,702.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.