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Finding the Third Proportional to 16,707 and 22,083.63

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Solution

The third proportional to 16,707 and 22,083.63 is: 29,190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,707 : 22,083.63 = 22,083.63 : x
  2. Step 2: Convert to fraction form
    16,707/22,083.63 = 22,083.63/x
  3. Step 3: Cross multiply
    16,707x = 22,083.63 × 22,083.63
  4. Step 4: Simplify right side
    16,707x = 487,686,493.14
  5. Step 5: Solve for x
    x = 487,686,493.14/16,707
  6. Step 6: Final answer
    x = 29,190.55

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.