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Finding the Third Proportional to 33,537 and 49,518

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Solution

The third proportional to 33,537 and 49,518 is: 73,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,537 : 49,518 = 49,518 : x
  2. Step 2: Convert to fraction form
    33,537/49,518 = 49,518/x
  3. Step 3: Cross multiply
    33,537x = 49,518 × 49,518
  4. Step 4: Simplify right side
    33,537x = 2,452,032,324
  5. Step 5: Solve for x
    x = 2,452,032,324/33,537
  6. Step 6: Final answer
    x = 73,114.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.