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Finding the Third Proportional to 10,014.56 and 15,709.31

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Solution

The third proportional to 10,014.56 and 15,709.31 is: 24,642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.56 : 15,709.31 = 15,709.31 : x
  2. Step 2: Convert to fraction form
    10,014.56/15,709.31 = 15,709.31/x
  3. Step 3: Cross multiply
    10,014.56x = 15,709.31 × 15,709.31
  4. Step 4: Simplify right side
    10,014.56x = 246,782,499.22
  5. Step 5: Solve for x
    x = 246,782,499.22/10,014.56
  6. Step 6: Final answer
    x = 24,642.36

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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.