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Finding the Third Proportional to 7,973 and 17,462

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Solution

The third proportional to 7,973 and 17,462 is: 38,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973 : 17,462 = 17,462 : x
  2. Step 2: Convert to fraction form
    7,973/17,462 = 17,462/x
  3. Step 3: Cross multiply
    7,973x = 17,462 × 17,462
  4. Step 4: Simplify right side
    7,973x = 304,921,444
  5. Step 5: Solve for x
    x = 304,921,444/7,973
  6. Step 6: Final answer
    x = 38,244.25

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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.