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Finding the Third Proportional to 6,572.81 and 10,204.31

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Solution

The third proportional to 6,572.81 and 10,204.31 is: 15,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.81 : 10,204.31 = 10,204.31 : x
  2. Step 2: Convert to fraction form
    6,572.81/10,204.31 = 10,204.31/x
  3. Step 3: Cross multiply
    6,572.81x = 10,204.31 × 10,204.31
  4. Step 4: Simplify right side
    6,572.81x = 104,127,993.60
  5. Step 5: Solve for x
    x = 104,127,993.60/6,572.81
  6. Step 6: Final answer
    x = 15,842.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.