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Finding the Third Proportional to 20,889 and 30,208.50

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Solution

The third proportional to 20,889 and 30,208.50 is: 43,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,889 : 30,208.50 = 30,208.50 : x
  2. Step 2: Convert to fraction form
    20,889/30,208.50 = 30,208.50/x
  3. Step 3: Cross multiply
    20,889x = 30,208.50 × 30,208.50
  4. Step 4: Simplify right side
    20,889x = 912,553,472.25
  5. Step 5: Solve for x
    x = 912,553,472.25/20,889
  6. Step 6: Final answer
    x = 43,685.84

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.