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Finding the Third Proportional to 32,652 and 70,392

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Solution

The third proportional to 32,652 and 70,392 is: 151,752.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,652 : 70,392 = 70,392 : x
  2. Step 2: Convert to fraction form
    32,652/70,392 = 70,392/x
  3. Step 3: Cross multiply
    32,652x = 70,392 × 70,392
  4. Step 4: Simplify right side
    32,652x = 4,955,033,664
  5. Step 5: Solve for x
    x = 4,955,033,664/32,652
  6. Step 6: Final answer
    x = 151,752.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.