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Finding the Third Proportional to 36,454 and 79,470

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Solution

The third proportional to 36,454 and 79,470 is: 173,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,454 : 79,470 = 79,470 : x
  2. Step 2: Convert to fraction form
    36,454/79,470 = 79,470/x
  3. Step 3: Cross multiply
    36,454x = 79,470 × 79,470
  4. Step 4: Simplify right side
    36,454x = 6,315,480,900
  5. Step 5: Solve for x
    x = 6,315,480,900/36,454
  6. Step 6: Final answer
    x = 173,245.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.