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Finding the Third Proportional to 10,139 and 15,167

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Solution

The third proportional to 10,139 and 15,167 is: 22,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139 : 15,167 = 15,167 : x
  2. Step 2: Convert to fraction form
    10,139/15,167 = 15,167/x
  3. Step 3: Cross multiply
    10,139x = 15,167 × 15,167
  4. Step 4: Simplify right side
    10,139x = 230,037,889
  5. Step 5: Solve for x
    x = 230,037,889/10,139
  6. Step 6: Final answer
    x = 22,688.42

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