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Finding the Third Proportional to 16,383.50 and 22,709

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Solution

The third proportional to 16,383.50 and 22,709 is: 31,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383.50 : 22,709 = 22,709 : x
  2. Step 2: Convert to fraction form
    16,383.50/22,709 = 22,709/x
  3. Step 3: Cross multiply
    16,383.50x = 22,709 × 22,709
  4. Step 4: Simplify right side
    16,383.50x = 515,698,681
  5. Step 5: Solve for x
    x = 515,698,681/16,383.50
  6. Step 6: Final answer
    x = 31,476.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.