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Finding the Third Proportional to 20,205 and 23,827.50

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Solution

The third proportional to 20,205 and 23,827.50 is: 28,099.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205 : 23,827.50 = 23,827.50 : x
  2. Step 2: Convert to fraction form
    20,205/23,827.50 = 23,827.50/x
  3. Step 3: Cross multiply
    20,205x = 23,827.50 × 23,827.50
  4. Step 4: Simplify right side
    20,205x = 567,749,756.25
  5. Step 5: Solve for x
    x = 567,749,756.25/20,205
  6. Step 6: Final answer
    x = 28,099.47

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.