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Finding the Third Proportional to 7,193.81 and 10,226.25

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Solution

The third proportional to 7,193.81 and 10,226.25 is: 14,536.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.81 : 10,226.25 = 10,226.25 : x
  2. Step 2: Convert to fraction form
    7,193.81/10,226.25 = 10,226.25/x
  3. Step 3: Cross multiply
    7,193.81x = 10,226.25 × 10,226.25
  4. Step 4: Simplify right side
    7,193.81x = 104,576,189.06
  5. Step 5: Solve for x
    x = 104,576,189.06/7,193.81
  6. Step 6: Final answer
    x = 14,536.96

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Why These Related Problems?

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