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Finding the Third Proportional to 10,262.81 and 15,371.44

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Solution

The third proportional to 10,262.81 and 15,371.44 is: 23,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.81 : 15,371.44 = 15,371.44 : x
  2. Step 2: Convert to fraction form
    10,262.81/15,371.44 = 15,371.44/x
  3. Step 3: Cross multiply
    10,262.81x = 15,371.44 × 15,371.44
  4. Step 4: Simplify right side
    10,262.81x = 236,281,090.82
  5. Step 5: Solve for x
    x = 236,281,090.82/10,262.81
  6. Step 6: Final answer
    x = 23,023.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.