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Finding the Third Proportional to 32,735 and 69,844

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Solution

The third proportional to 32,735 and 69,844 is: 149,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,735 : 69,844 = 69,844 : x
  2. Step 2: Convert to fraction form
    32,735/69,844 = 69,844/x
  3. Step 3: Cross multiply
    32,735x = 69,844 × 69,844
  4. Step 4: Simplify right side
    32,735x = 4,878,184,336
  5. Step 5: Solve for x
    x = 4,878,184,336/32,735
  6. Step 6: Final answer
    x = 149,020.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.