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Finding the Third Proportional to 16,264.69 and 23,704.31

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Solution

The third proportional to 16,264.69 and 23,704.31 is: 34,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264.69 : 23,704.31 = 23,704.31 : x
  2. Step 2: Convert to fraction form
    16,264.69/23,704.31 = 23,704.31/x
  3. Step 3: Cross multiply
    16,264.69x = 23,704.31 × 23,704.31
  4. Step 4: Simplify right side
    16,264.69x = 561,894,431.10
  5. Step 5: Solve for x
    x = 561,894,431.10/16,264.69
  6. Step 6: Final answer
    x = 34,546.89

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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.