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Finding the Third Proportional to 13,973 and 30,538

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Solution

The third proportional to 13,973 and 30,538 is: 66,740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973 : 30,538 = 30,538 : x
  2. Step 2: Convert to fraction form
    13,973/30,538 = 30,538/x
  3. Step 3: Cross multiply
    13,973x = 30,538 × 30,538
  4. Step 4: Simplify right side
    13,973x = 932,569,444
  5. Step 5: Solve for x
    x = 932,569,444/13,973
  6. Step 6: Final answer
    x = 66,740.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.