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Finding the Third Proportional to 37,646 and 79,468

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Solution

The third proportional to 37,646 and 79,468 is: 167,751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,646 : 79,468 = 79,468 : x
  2. Step 2: Convert to fraction form
    37,646/79,468 = 79,468/x
  3. Step 3: Cross multiply
    37,646x = 79,468 × 79,468
  4. Step 4: Simplify right side
    37,646x = 6,315,163,024
  5. Step 5: Solve for x
    x = 6,315,163,024/37,646
  6. Step 6: Final answer
    x = 167,751.24

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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.