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Finding the Third Proportional to 34,533 and 75,505

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Solution

The third proportional to 34,533 and 75,505 is: 165,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,533 : 75,505 = 75,505 : x
  2. Step 2: Convert to fraction form
    34,533/75,505 = 75,505/x
  3. Step 3: Cross multiply
    34,533x = 75,505 × 75,505
  4. Step 4: Simplify right side
    34,533x = 5,701,005,025
  5. Step 5: Solve for x
    x = 5,701,005,025/34,533
  6. Step 6: Final answer
    x = 165,088.61

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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.