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Finding the Third Proportional to 34,079.50 and 74,477

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Solution

The third proportional to 34,079.50 and 74,477 is: 162,761.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,079.50 : 74,477 = 74,477 : x
  2. Step 2: Convert to fraction form
    34,079.50/74,477 = 74,477/x
  3. Step 3: Cross multiply
    34,079.50x = 74,477 × 74,477
  4. Step 4: Simplify right side
    34,079.50x = 5,546,823,529
  5. Step 5: Solve for x
    x = 5,546,823,529/34,079.50
  6. Step 6: Final answer
    x = 162,761.29

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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.