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Finding the Third Proportional to 22,916 and 33,553

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Solution

The third proportional to 22,916 and 33,553 is: 49,127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,916 : 33,553 = 33,553 : x
  2. Step 2: Convert to fraction form
    22,916/33,553 = 33,553/x
  3. Step 3: Cross multiply
    22,916x = 33,553 × 33,553
  4. Step 4: Simplify right side
    22,916x = 1,125,803,809
  5. Step 5: Solve for x
    x = 1,125,803,809/22,916
  6. Step 6: Final answer
    x = 49,127.41

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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.