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Finding the Third Proportional to 20,378.25 and 32,008.50

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Solution

The third proportional to 20,378.25 and 32,008.50 is: 50,276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,378.25 : 32,008.50 = 32,008.50 : x
  2. Step 2: Convert to fraction form
    20,378.25/32,008.50 = 32,008.50/x
  3. Step 3: Cross multiply
    20,378.25x = 32,008.50 × 32,008.50
  4. Step 4: Simplify right side
    20,378.25x = 1,024,544,072.25
  5. Step 5: Solve for x
    x = 1,024,544,072.25/20,378.25
  6. Step 6: Final answer
    x = 50,276.35

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.