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Finding the Third Proportional to 23,544 and 32,076

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Solution

The third proportional to 23,544 and 32,076 is: 43,699.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,544 : 32,076 = 32,076 : x
  2. Step 2: Convert to fraction form
    23,544/32,076 = 32,076/x
  3. Step 3: Cross multiply
    23,544x = 32,076 × 32,076
  4. Step 4: Simplify right side
    23,544x = 1,028,869,776
  5. Step 5: Solve for x
    x = 1,028,869,776/23,544
  6. Step 6: Final answer
    x = 43,699.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.