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Finding the Third Proportional to 20,094.75 and 31,816.13

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Solution

The third proportional to 20,094.75 and 31,816.13 is: 50,374.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094.75 : 31,816.13 = 31,816.13 : x
  2. Step 2: Convert to fraction form
    20,094.75/31,816.13 = 31,816.13/x
  3. Step 3: Cross multiply
    20,094.75x = 31,816.13 × 31,816.13
  4. Step 4: Simplify right side
    20,094.75x = 1,012,265,810.02
  5. Step 5: Solve for x
    x = 1,012,265,810.02/20,094.75
  6. Step 6: Final answer
    x = 50,374.64

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.