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Finding the Third Proportional to 20,119.75 and 31,851.50

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Solution

The third proportional to 20,119.75 and 31,851.50 is: 50,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,119.75 : 31,851.50 = 31,851.50 : x
  2. Step 2: Convert to fraction form
    20,119.75/31,851.50 = 31,851.50/x
  3. Step 3: Cross multiply
    20,119.75x = 31,851.50 × 31,851.50
  4. Step 4: Simplify right side
    20,119.75x = 1,014,518,052.25
  5. Step 5: Solve for x
    x = 1,014,518,052.25/20,119.75
  6. Step 6: Final answer
    x = 50,423.99

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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.