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Finding the Third Proportional to 36,537 and 79,838

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Solution

The third proportional to 36,537 and 79,838 is: 174,456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,537 : 79,838 = 79,838 : x
  2. Step 2: Convert to fraction form
    36,537/79,838 = 79,838/x
  3. Step 3: Cross multiply
    36,537x = 79,838 × 79,838
  4. Step 4: Simplify right side
    36,537x = 6,374,106,244
  5. Step 5: Solve for x
    x = 6,374,106,244/36,537
  6. Step 6: Final answer
    x = 174,456.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.