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Finding the Third Proportional to 16,846.31 and 24,661.13

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Solution

The third proportional to 16,846.31 and 24,661.13 is: 36,101.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,846.31 : 24,661.13 = 24,661.13 : x
  2. Step 2: Convert to fraction form
    16,846.31/24,661.13 = 24,661.13/x
  3. Step 3: Cross multiply
    16,846.31x = 24,661.13 × 24,661.13
  4. Step 4: Simplify right side
    16,846.31x = 608,171,086.27
  5. Step 5: Solve for x
    x = 608,171,086.27/16,846.31
  6. Step 6: Final answer
    x = 36,101.14

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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.