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Finding the Third Proportional to 10,076.25 and 15,887.25

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Solution

The third proportional to 10,076.25 and 15,887.25 is: 25,049.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.25 : 15,887.25 = 15,887.25 : x
  2. Step 2: Convert to fraction form
    10,076.25/15,887.25 = 15,887.25/x
  3. Step 3: Cross multiply
    10,076.25x = 15,887.25 × 15,887.25
  4. Step 4: Simplify right side
    10,076.25x = 252,404,712.56
  5. Step 5: Solve for x
    x = 252,404,712.56/10,076.25
  6. Step 6: Final answer
    x = 25,049.47

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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.