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Finding the Third Proportional to 16,147.69 and 21,520.69

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Solution

The third proportional to 16,147.69 and 21,520.69 is: 28,681.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147.69 : 21,520.69 = 21,520.69 : x
  2. Step 2: Convert to fraction form
    16,147.69/21,520.69 = 21,520.69/x
  3. Step 3: Cross multiply
    16,147.69x = 21,520.69 × 21,520.69
  4. Step 4: Simplify right side
    16,147.69x = 463,139,990.47
  5. Step 5: Solve for x
    x = 463,139,990.47/16,147.69
  6. Step 6: Final answer
    x = 28,681.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.