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Finding the Third Proportional to 10,226.81 and 15,002.44

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Solution

The third proportional to 10,226.81 and 15,002.44 is: 22,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.81 : 15,002.44 = 15,002.44 : x
  2. Step 2: Convert to fraction form
    10,226.81/15,002.44 = 15,002.44/x
  3. Step 3: Cross multiply
    10,226.81x = 15,002.44 × 15,002.44
  4. Step 4: Simplify right side
    10,226.81x = 225,073,130.94
  5. Step 5: Solve for x
    x = 225,073,130.94/10,226.81
  6. Step 6: Final answer
    x = 22,008.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.