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Finding the Third Proportional to 16,206.19 and 24,636.94

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Solution

The third proportional to 16,206.19 and 24,636.94 is: 37,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.19 : 24,636.94 = 24,636.94 : x
  2. Step 2: Convert to fraction form
    16,206.19/24,636.94 = 24,636.94/x
  3. Step 3: Cross multiply
    16,206.19x = 24,636.94 × 24,636.94
  4. Step 4: Simplify right side
    16,206.19x = 606,978,689.38
  5. Step 5: Solve for x
    x = 606,978,689.38/16,206.19
  6. Step 6: Final answer
    x = 37,453.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.