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Finding the Third Proportional to 34,944 and 76,448

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Solution

The third proportional to 34,944 and 76,448 is: 167,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,944 : 76,448 = 76,448 : x
  2. Step 2: Convert to fraction form
    34,944/76,448 = 76,448/x
  3. Step 3: Cross multiply
    34,944x = 76,448 × 76,448
  4. Step 4: Simplify right side
    34,944x = 5,844,296,704
  5. Step 5: Solve for x
    x = 5,844,296,704/34,944
  6. Step 6: Final answer
    x = 167,247.50

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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.