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Finding the Third Proportional to 22,237 and 33,537

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Solution

The third proportional to 22,237 and 33,537 is: 50,579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,237 : 33,537 = 33,537 : x
  2. Step 2: Convert to fraction form
    22,237/33,537 = 33,537/x
  3. Step 3: Cross multiply
    22,237x = 33,537 × 33,537
  4. Step 4: Simplify right side
    22,237x = 1,124,730,369
  5. Step 5: Solve for x
    x = 1,124,730,369/22,237
  6. Step 6: Final answer
    x = 50,579.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.