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Finding the Third Proportional to 37,045 and 79,928

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Solution

The third proportional to 37,045 and 79,928 is: 172,452.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,045 : 79,928 = 79,928 : x
  2. Step 2: Convert to fraction form
    37,045/79,928 = 79,928/x
  3. Step 3: Cross multiply
    37,045x = 79,928 × 79,928
  4. Step 4: Simplify right side
    37,045x = 6,388,485,184
  5. Step 5: Solve for x
    x = 6,388,485,184/37,045
  6. Step 6: Final answer
    x = 172,452.02

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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.