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Finding the Third Proportional to 28,651.25 and 43,031

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Solution

The third proportional to 28,651.25 and 43,031 is: 64,627.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,651.25 : 43,031 = 43,031 : x
  2. Step 2: Convert to fraction form
    28,651.25/43,031 = 43,031/x
  3. Step 3: Cross multiply
    28,651.25x = 43,031 × 43,031
  4. Step 4: Simplify right side
    28,651.25x = 1,851,666,961
  5. Step 5: Solve for x
    x = 1,851,666,961/28,651.25
  6. Step 6: Final answer
    x = 64,627.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.