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Finding the Third Proportional to 10,028.25 and 15,714

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Solution

The third proportional to 10,028.25 and 15,714 is: 24,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.25 : 15,714 = 15,714 : x
  2. Step 2: Convert to fraction form
    10,028.25/15,714 = 15,714/x
  3. Step 3: Cross multiply
    10,028.25x = 15,714 × 15,714
  4. Step 4: Simplify right side
    10,028.25x = 246,929,796
  5. Step 5: Solve for x
    x = 246,929,796/10,028.25
  6. Step 6: Final answer
    x = 24,623.42

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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.