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Finding the Third Proportional to 32,463 and 70,884

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Solution

The third proportional to 32,463 and 70,884 is: 154,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,463 : 70,884 = 70,884 : x
  2. Step 2: Convert to fraction form
    32,463/70,884 = 70,884/x
  3. Step 3: Cross multiply
    32,463x = 70,884 × 70,884
  4. Step 4: Simplify right side
    32,463x = 5,024,541,456
  5. Step 5: Solve for x
    x = 5,024,541,456/32,463
  6. Step 6: Final answer
    x = 154,777.48

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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.