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Finding the Third Proportional to 10,176 and 15,214

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Solution

The third proportional to 10,176 and 15,214 is: 22,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,176 : 15,214 = 15,214 : x
  2. Step 2: Convert to fraction form
    10,176/15,214 = 15,214/x
  3. Step 3: Cross multiply
    10,176x = 15,214 × 15,214
  4. Step 4: Simplify right side
    10,176x = 231,465,796
  5. Step 5: Solve for x
    x = 231,465,796/10,176
  6. Step 6: Final answer
    x = 22,746.25

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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.