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Finding the Third Proportional to 12,998 and 19,613

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Solution

The third proportional to 12,998 and 19,613 is: 29,594.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998 : 19,613 = 19,613 : x
  2. Step 2: Convert to fraction form
    12,998/19,613 = 19,613/x
  3. Step 3: Cross multiply
    12,998x = 19,613 × 19,613
  4. Step 4: Simplify right side
    12,998x = 384,669,769
  5. Step 5: Solve for x
    x = 384,669,769/12,998
  6. Step 6: Final answer
    x = 29,594.54

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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.