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Finding the Third Proportional to 22,648.50 and 33,307

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Solution

The third proportional to 22,648.50 and 33,307 is: 48,981.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.50 : 33,307 = 33,307 : x
  2. Step 2: Convert to fraction form
    22,648.50/33,307 = 33,307/x
  3. Step 3: Cross multiply
    22,648.50x = 33,307 × 33,307
  4. Step 4: Simplify right side
    22,648.50x = 1,109,356,249
  5. Step 5: Solve for x
    x = 1,109,356,249/22,648.50
  6. Step 6: Final answer
    x = 48,981.44

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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.