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Finding the Third Proportional to 37,005 and 79,918

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Solution

The third proportional to 37,005 and 79,918 is: 172,595.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,005 : 79,918 = 79,918 : x
  2. Step 2: Convert to fraction form
    37,005/79,918 = 79,918/x
  3. Step 3: Cross multiply
    37,005x = 79,918 × 79,918
  4. Step 4: Simplify right side
    37,005x = 6,386,886,724
  5. Step 5: Solve for x
    x = 6,386,886,724/37,005
  6. Step 6: Final answer
    x = 172,595.24

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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.