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Finding the Third Proportional to 20,827.13 and 33,124.50

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Solution

The third proportional to 20,827.13 and 33,124.50 is: 52,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,827.13 : 33,124.50 = 33,124.50 : x
  2. Step 2: Convert to fraction form
    20,827.13/33,124.50 = 33,124.50/x
  3. Step 3: Cross multiply
    20,827.13x = 33,124.50 × 33,124.50
  4. Step 4: Simplify right side
    20,827.13x = 1,097,232,500.25
  5. Step 5: Solve for x
    x = 1,097,232,500.25/20,827.13
  6. Step 6: Final answer
    x = 52,682.86

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.