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Finding the Third Proportional to 14,616.84 and 23,540.20

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Solution

The third proportional to 14,616.84 and 23,540.20 is: 37,911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.84 : 23,540.20 = 23,540.20 : x
  2. Step 2: Convert to fraction form
    14,616.84/23,540.20 = 23,540.20/x
  3. Step 3: Cross multiply
    14,616.84x = 23,540.20 × 23,540.20
  4. Step 4: Simplify right side
    14,616.84x = 554,141,163.17
  5. Step 5: Solve for x
    x = 554,141,163.17/14,616.84
  6. Step 6: Final answer
    x = 37,911.14

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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.