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Finding the Third Proportional to 33,365 and 72,537

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Solution

The third proportional to 33,365 and 72,537 is: 157,698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,365 : 72,537 = 72,537 : x
  2. Step 2: Convert to fraction form
    33,365/72,537 = 72,537/x
  3. Step 3: Cross multiply
    33,365x = 72,537 × 72,537
  4. Step 4: Simplify right side
    33,365x = 5,261,616,369
  5. Step 5: Solve for x
    x = 5,261,616,369/33,365
  6. Step 6: Final answer
    x = 157,698.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.