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Finding the Third Proportional to 13,785 and 20,221.50

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Solution

The third proportional to 13,785 and 20,221.50 is: 29,663.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785 : 20,221.50 = 20,221.50 : x
  2. Step 2: Convert to fraction form
    13,785/20,221.50 = 20,221.50/x
  3. Step 3: Cross multiply
    13,785x = 20,221.50 × 20,221.50
  4. Step 4: Simplify right side
    13,785x = 408,909,062.25
  5. Step 5: Solve for x
    x = 408,909,062.25/13,785
  6. Step 6: Final answer
    x = 29,663.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.