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Finding the Third Proportional to 3,973 and 7,361

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Solution

The third proportional to 3,973 and 7,361 is: 13,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973 : 7,361 = 7,361 : x
  2. Step 2: Convert to fraction form
    3,973/7,361 = 7,361/x
  3. Step 3: Cross multiply
    3,973x = 7,361 × 7,361
  4. Step 4: Simplify right side
    3,973x = 54,184,321
  5. Step 5: Solve for x
    x = 54,184,321/3,973
  6. Step 6: Final answer
    x = 13,638.14

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.