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Finding the Third Proportional to 32,351 and 70,714

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Solution

The third proportional to 32,351 and 70,714 is: 154,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,351 : 70,714 = 70,714 : x
  2. Step 2: Convert to fraction form
    32,351/70,714 = 70,714/x
  3. Step 3: Cross multiply
    32,351x = 70,714 × 70,714
  4. Step 4: Simplify right side
    32,351x = 5,000,469,796
  5. Step 5: Solve for x
    x = 5,000,469,796/32,351
  6. Step 6: Final answer
    x = 154,569.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.