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Finding the Third Proportional to 34,512 and 75,480

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Solution

The third proportional to 34,512 and 75,480 is: 165,079.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,512 : 75,480 = 75,480 : x
  2. Step 2: Convert to fraction form
    34,512/75,480 = 75,480/x
  3. Step 3: Cross multiply
    34,512x = 75,480 × 75,480
  4. Step 4: Simplify right side
    34,512x = 5,697,230,400
  5. Step 5: Solve for x
    x = 5,697,230,400/34,512
  6. Step 6: Final answer
    x = 165,079.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.