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Finding the Third Proportional to 12,946 and 19,519

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Solution

The third proportional to 12,946 and 19,519 is: 29,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946 : 19,519 = 19,519 : x
  2. Step 2: Convert to fraction form
    12,946/19,519 = 19,519/x
  3. Step 3: Cross multiply
    12,946x = 19,519 × 19,519
  4. Step 4: Simplify right side
    12,946x = 380,991,361
  5. Step 5: Solve for x
    x = 380,991,361/12,946
  6. Step 6: Final answer
    x = 29,429.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.