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Finding the Third Proportional to 10,200.09 and 14,439.09

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Solution

The third proportional to 10,200.09 and 14,439.09 is: 20,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.09 : 14,439.09 = 14,439.09 : x
  2. Step 2: Convert to fraction form
    10,200.09/14,439.09 = 14,439.09/x
  3. Step 3: Cross multiply
    10,200.09x = 14,439.09 × 14,439.09
  4. Step 4: Simplify right side
    10,200.09x = 208,487,428.32
  5. Step 5: Solve for x
    x = 208,487,428.32/10,200.09
  6. Step 6: Final answer
    x = 20,439.76

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.