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Finding the Third Proportional to 22,647.75 and 33,306

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Solution

The third proportional to 22,647.75 and 33,306 is: 48,980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.75 : 33,306 = 33,306 : x
  2. Step 2: Convert to fraction form
    22,647.75/33,306 = 33,306/x
  3. Step 3: Cross multiply
    22,647.75x = 33,306 × 33,306
  4. Step 4: Simplify right side
    22,647.75x = 1,109,289,636
  5. Step 5: Solve for x
    x = 1,109,289,636/22,647.75
  6. Step 6: Final answer
    x = 48,980.13

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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.