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Finding the Third Proportional to 16,606 and 24,673.75

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Solution

The third proportional to 16,606 and 24,673.75 is: 36,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,606 : 24,673.75 = 24,673.75 : x
  2. Step 2: Convert to fraction form
    16,606/24,673.75 = 24,673.75/x
  3. Step 3: Cross multiply
    16,606x = 24,673.75 × 24,673.75
  4. Step 4: Simplify right side
    16,606x = 608,793,939.06
  5. Step 5: Solve for x
    x = 608,793,939.06/16,606
  6. Step 6: Final answer
    x = 36,661.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.