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Finding the Third Proportional to 13,957 and 30,379

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Solution

The third proportional to 13,957 and 30,379 is: 66,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957 : 30,379 = 30,379 : x
  2. Step 2: Convert to fraction form
    13,957/30,379 = 30,379/x
  3. Step 3: Cross multiply
    13,957x = 30,379 × 30,379
  4. Step 4: Simplify right side
    13,957x = 922,883,641
  5. Step 5: Solve for x
    x = 922,883,641/13,957
  6. Step 6: Final answer
    x = 66,123.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.