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Finding the Third Proportional to 36,790 and 79,461

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Solution

The third proportional to 36,790 and 79,461 is: 171,624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,790 : 79,461 = 79,461 : x
  2. Step 2: Convert to fraction form
    36,790/79,461 = 79,461/x
  3. Step 3: Cross multiply
    36,790x = 79,461 × 79,461
  4. Step 4: Simplify right side
    36,790x = 6,314,050,521
  5. Step 5: Solve for x
    x = 6,314,050,521/36,790
  6. Step 6: Final answer
    x = 171,624.10

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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.