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Finding the Third Proportional to 37,394 and 79,008

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Solution

The third proportional to 37,394 and 79,008 is: 166,932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,394 : 79,008 = 79,008 : x
  2. Step 2: Convert to fraction form
    37,394/79,008 = 79,008/x
  3. Step 3: Cross multiply
    37,394x = 79,008 × 79,008
  4. Step 4: Simplify right side
    37,394x = 6,242,264,064
  5. Step 5: Solve for x
    x = 6,242,264,064/37,394
  6. Step 6: Final answer
    x = 166,932.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.