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Finding the Third Proportional to 16,846.31 and 36,681.19

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Solution

The third proportional to 16,846.31 and 36,681.19 is: 79,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,846.31 : 36,681.19 = 36,681.19 : x
  2. Step 2: Convert to fraction form
    16,846.31/36,681.19 = 36,681.19/x
  3. Step 3: Cross multiply
    16,846.31x = 36,681.19 × 36,681.19
  4. Step 4: Simplify right side
    16,846.31x = 1,345,509,516.41
  5. Step 5: Solve for x
    x = 1,345,509,516.41/16,846.31
  6. Step 6: Final answer
    x = 79,869.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.