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Finding the Third Proportional to 14,246 and 19,049

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Solution

The third proportional to 14,246 and 19,049 is: 25,471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,246 : 19,049 = 19,049 : x
  2. Step 2: Convert to fraction form
    14,246/19,049 = 19,049/x
  3. Step 3: Cross multiply
    14,246x = 19,049 × 19,049
  4. Step 4: Simplify right side
    14,246x = 362,864,401
  5. Step 5: Solve for x
    x = 362,864,401/14,246
  6. Step 6: Final answer
    x = 25,471.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.