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Finding the Third Proportional to 32,944 and 69,816

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Solution

The third proportional to 32,944 and 69,816 is: 147,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,944 : 69,816 = 69,816 : x
  2. Step 2: Convert to fraction form
    32,944/69,816 = 69,816/x
  3. Step 3: Cross multiply
    32,944x = 69,816 × 69,816
  4. Step 4: Simplify right side
    32,944x = 4,874,273,856
  5. Step 5: Solve for x
    x = 4,874,273,856/32,944
  6. Step 6: Final answer
    x = 147,956.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.