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Finding the Third Proportional to 22,351.50 and 32,910

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Solution

The third proportional to 22,351.50 and 32,910 is: 48,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,351.50 : 32,910 = 32,910 : x
  2. Step 2: Convert to fraction form
    22,351.50/32,910 = 32,910/x
  3. Step 3: Cross multiply
    22,351.50x = 32,910 × 32,910
  4. Step 4: Simplify right side
    22,351.50x = 1,083,068,100
  5. Step 5: Solve for x
    x = 1,083,068,100/22,351.50
  6. Step 6: Final answer
    x = 48,456.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.