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Finding the Third Proportional to 32,272 and 47,544

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Solution

The third proportional to 32,272 and 47,544 is: 70,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,272 : 47,544 = 47,544 : x
  2. Step 2: Convert to fraction form
    32,272/47,544 = 47,544/x
  3. Step 3: Cross multiply
    32,272x = 47,544 × 47,544
  4. Step 4: Simplify right side
    32,272x = 2,260,431,936
  5. Step 5: Solve for x
    x = 2,260,431,936/32,272
  6. Step 6: Final answer
    x = 70,043.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.