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Finding the Third Proportional to 6,997 and 15,283

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Solution

The third proportional to 6,997 and 15,283 is: 33,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997 : 15,283 = 15,283 : x
  2. Step 2: Convert to fraction form
    6,997/15,283 = 15,283/x
  3. Step 3: Cross multiply
    6,997x = 15,283 × 15,283
  4. Step 4: Simplify right side
    6,997x = 233,570,089
  5. Step 5: Solve for x
    x = 233,570,089/6,997
  6. Step 6: Final answer
    x = 33,381.46

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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.