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Finding the Third Proportional to 32,438 and 70,414

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Solution

The third proportional to 32,438 and 70,414 is: 152,849.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,438 : 70,414 = 70,414 : x
  2. Step 2: Convert to fraction form
    32,438/70,414 = 70,414/x
  3. Step 3: Cross multiply
    32,438x = 70,414 × 70,414
  4. Step 4: Simplify right side
    32,438x = 4,958,131,396
  5. Step 5: Solve for x
    x = 4,958,131,396/32,438
  6. Step 6: Final answer
    x = 152,849.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.