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Finding the Third Proportional to 37,038.25 and 79,868

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Solution

The third proportional to 37,038.25 and 79,868 is: 172,224.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,038.25 : 79,868 = 79,868 : x
  2. Step 2: Convert to fraction form
    37,038.25/79,868 = 79,868/x
  3. Step 3: Cross multiply
    37,038.25x = 79,868 × 79,868
  4. Step 4: Simplify right side
    37,038.25x = 6,378,897,424
  5. Step 5: Solve for x
    x = 6,378,897,424/37,038.25
  6. Step 6: Final answer
    x = 172,224.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.