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Finding the Third Proportional to 12,430 and 17,379

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Solution

The third proportional to 12,430 and 17,379 is: 24,298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430 : 17,379 = 17,379 : x
  2. Step 2: Convert to fraction form
    12,430/17,379 = 17,379/x
  3. Step 3: Cross multiply
    12,430x = 17,379 × 17,379
  4. Step 4: Simplify right side
    12,430x = 302,029,641
  5. Step 5: Solve for x
    x = 302,029,641/12,430
  6. Step 6: Final answer
    x = 24,298.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.