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Finding the Third Proportional to 15,146 and 23,199

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Solution

The third proportional to 15,146 and 23,199 is: 35,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146 : 23,199 = 23,199 : x
  2. Step 2: Convert to fraction form
    15,146/23,199 = 23,199/x
  3. Step 3: Cross multiply
    15,146x = 23,199 × 23,199
  4. Step 4: Simplify right side
    15,146x = 538,193,601
  5. Step 5: Solve for x
    x = 538,193,601/15,146
  6. Step 6: Final answer
    x = 35,533.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.