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Finding the Third Proportional to 1,997 and 4,663.50

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Solution

The third proportional to 1,997 and 4,663.50 is: 10,890.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997 : 4,663.50 = 4,663.50 : x
  2. Step 2: Convert to fraction form
    1,997/4,663.50 = 4,663.50/x
  3. Step 3: Cross multiply
    1,997x = 4,663.50 × 4,663.50
  4. Step 4: Simplify right side
    1,997x = 21,748,232.25
  5. Step 5: Solve for x
    x = 21,748,232.25/1,997
  6. Step 6: Final answer
    x = 10,890.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.