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Finding the Third Proportional to 10,014.56 and 21,369.56

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Solution

The third proportional to 10,014.56 and 21,369.56 is: 45,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.56 : 21,369.56 = 21,369.56 : x
  2. Step 2: Convert to fraction form
    10,014.56/21,369.56 = 21,369.56/x
  3. Step 3: Cross multiply
    10,014.56x = 21,369.56 × 21,369.56
  4. Step 4: Simplify right side
    10,014.56x = 456,658,201.44
  5. Step 5: Solve for x
    x = 456,658,201.44/10,014.56
  6. Step 6: Final answer
    x = 45,599.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.