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Finding the Third Proportional to 32,816 and 69,574

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Solution

The third proportional to 32,816 and 69,574 is: 147,505.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,816 : 69,574 = 69,574 : x
  2. Step 2: Convert to fraction form
    32,816/69,574 = 69,574/x
  3. Step 3: Cross multiply
    32,816x = 69,574 × 69,574
  4. Step 4: Simplify right side
    32,816x = 4,840,541,476
  5. Step 5: Solve for x
    x = 4,840,541,476/32,816
  6. Step 6: Final answer
    x = 147,505.53

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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.