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Finding the Third Proportional to 14,659.73 and 23,604.22

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Solution

The third proportional to 14,659.73 and 23,604.22 is: 38,006.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,659.73 : 23,604.22 = 23,604.22 : x
  2. Step 2: Convert to fraction form
    14,659.73/23,604.22 = 23,604.22/x
  3. Step 3: Cross multiply
    14,659.73x = 23,604.22 × 23,604.22
  4. Step 4: Simplify right side
    14,659.73x = 557,159,327.21
  5. Step 5: Solve for x
    x = 557,159,327.21/14,659.73
  6. Step 6: Final answer
    x = 38,006.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.