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Finding the Third Proportional to 10,141 and 15,408.75

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Solution

The third proportional to 10,141 and 15,408.75 is: 23,412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141 : 15,408.75 = 15,408.75 : x
  2. Step 2: Convert to fraction form
    10,141/15,408.75 = 15,408.75/x
  3. Step 3: Cross multiply
    10,141x = 15,408.75 × 15,408.75
  4. Step 4: Simplify right side
    10,141x = 237,429,576.56
  5. Step 5: Solve for x
    x = 237,429,576.56/10,141
  6. Step 6: Final answer
    x = 23,412.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.