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Finding the Third Proportional to 13,973 and 30,169

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Solution

The third proportional to 13,973 and 30,169 is: 65,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973 : 30,169 = 30,169 : x
  2. Step 2: Convert to fraction form
    13,973/30,169 = 30,169/x
  3. Step 3: Cross multiply
    13,973x = 30,169 × 30,169
  4. Step 4: Simplify right side
    13,973x = 910,168,561
  5. Step 5: Solve for x
    x = 910,168,561/13,973
  6. Step 6: Final answer
    x = 65,137.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.