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Finding the Third Proportional to 10,143 and 15,173

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Solution

The third proportional to 10,143 and 15,173 is: 22,697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143 : 15,173 = 15,173 : x
  2. Step 2: Convert to fraction form
    10,143/15,173 = 15,173/x
  3. Step 3: Cross multiply
    10,143x = 15,173 × 15,173
  4. Step 4: Simplify right side
    10,143x = 230,219,929
  5. Step 5: Solve for x
    x = 230,219,929/10,143
  6. Step 6: Final answer
    x = 22,697.42

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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.