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Finding the Third Proportional to 16,146.21 and 23,581.44

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Solution

The third proportional to 16,146.21 and 23,581.44 is: 34,440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146.21 : 23,581.44 = 23,581.44 : x
  2. Step 2: Convert to fraction form
    16,146.21/23,581.44 = 23,581.44/x
  3. Step 3: Cross multiply
    16,146.21x = 23,581.44 × 23,581.44
  4. Step 4: Simplify right side
    16,146.21x = 556,084,378.80
  5. Step 5: Solve for x
    x = 556,084,378.80/16,146.21
  6. Step 6: Final answer
    x = 34,440.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.