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Finding the Third Proportional to 20,468.53 and 32,548.50

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Solution

The third proportional to 20,468.53 and 32,548.50 is: 51,757.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,468.53 : 32,548.50 = 32,548.50 : x
  2. Step 2: Convert to fraction form
    20,468.53/32,548.50 = 32,548.50/x
  3. Step 3: Cross multiply
    20,468.53x = 32,548.50 × 32,548.50
  4. Step 4: Simplify right side
    20,468.53x = 1,059,404,852.25
  5. Step 5: Solve for x
    x = 1,059,404,852.25/20,468.53
  6. Step 6: Final answer
    x = 51,757.74

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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.