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Finding the Third Proportional to 18,564 and 20,512.50

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Solution

The third proportional to 18,564 and 20,512.50 is: 22,665.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564 : 20,512.50 = 20,512.50 : x
  2. Step 2: Convert to fraction form
    18,564/20,512.50 = 20,512.50/x
  3. Step 3: Cross multiply
    18,564x = 20,512.50 × 20,512.50
  4. Step 4: Simplify right side
    18,564x = 420,762,656.25
  5. Step 5: Solve for x
    x = 420,762,656.25/18,564
  6. Step 6: Final answer
    x = 22,665.52

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.