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Finding the Third Proportional to 19,807.50 and 31,851

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Solution

The third proportional to 19,807.50 and 31,851 is: 51,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.50 : 31,851 = 31,851 : x
  2. Step 2: Convert to fraction form
    19,807.50/31,851 = 31,851/x
  3. Step 3: Cross multiply
    19,807.50x = 31,851 × 31,851
  4. Step 4: Simplify right side
    19,807.50x = 1,014,486,201
  5. Step 5: Solve for x
    x = 1,014,486,201/19,807.50
  6. Step 6: Final answer
    x = 51,217.28

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.