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Finding the Third Proportional to 36,746 and 79,603

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Solution

The third proportional to 36,746 and 79,603 is: 172,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,746 : 79,603 = 79,603 : x
  2. Step 2: Convert to fraction form
    36,746/79,603 = 79,603/x
  3. Step 3: Cross multiply
    36,746x = 79,603 × 79,603
  4. Step 4: Simplify right side
    36,746x = 6,336,637,609
  5. Step 5: Solve for x
    x = 6,336,637,609/36,746
  6. Step 6: Final answer
    x = 172,444.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.