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Finding the Third Proportional to 10,172 and 15,285

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Solution

The third proportional to 10,172 and 15,285 is: 22,968.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172 : 15,285 = 15,285 : x
  2. Step 2: Convert to fraction form
    10,172/15,285 = 15,285/x
  3. Step 3: Cross multiply
    10,172x = 15,285 × 15,285
  4. Step 4: Simplify right side
    10,172x = 233,631,225
  5. Step 5: Solve for x
    x = 233,631,225/10,172
  6. Step 6: Final answer
    x = 22,968.07

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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.