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Finding the Third Proportional to 32,568 and 69,352

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Solution

The third proportional to 32,568 and 69,352 is: 147,681.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,568 : 69,352 = 69,352 : x
  2. Step 2: Convert to fraction form
    32,568/69,352 = 69,352/x
  3. Step 3: Cross multiply
    32,568x = 69,352 × 69,352
  4. Step 4: Simplify right side
    32,568x = 4,809,699,904
  5. Step 5: Solve for x
    x = 4,809,699,904/32,568
  6. Step 6: Final answer
    x = 147,681.77

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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.