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Finding the Third Proportional to 32,284 and 70,286

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Solution

The third proportional to 32,284 and 70,286 is: 153,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,284 : 70,286 = 70,286 : x
  2. Step 2: Convert to fraction form
    32,284/70,286 = 70,286/x
  3. Step 3: Cross multiply
    32,284x = 70,286 × 70,286
  4. Step 4: Simplify right side
    32,284x = 4,940,121,796
  5. Step 5: Solve for x
    x = 4,940,121,796/32,284
  6. Step 6: Final answer
    x = 153,020.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.