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Finding the Third Proportional to 32,814 and 70,291

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Solution

The third proportional to 32,814 and 70,291 is: 150,570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,814 : 70,291 = 70,291 : x
  2. Step 2: Convert to fraction form
    32,814/70,291 = 70,291/x
  3. Step 3: Cross multiply
    32,814x = 70,291 × 70,291
  4. Step 4: Simplify right side
    32,814x = 4,940,824,681
  5. Step 5: Solve for x
    x = 4,940,824,681/32,814
  6. Step 6: Final answer
    x = 150,570.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.