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Finding the Third Proportional to 7,971.75 and 17,553

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Solution

The third proportional to 7,971.75 and 17,553 is: 38,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.75 : 17,553 = 17,553 : x
  2. Step 2: Convert to fraction form
    7,971.75/17,553 = 17,553/x
  3. Step 3: Cross multiply
    7,971.75x = 17,553 × 17,553
  4. Step 4: Simplify right side
    7,971.75x = 308,107,809
  5. Step 5: Solve for x
    x = 308,107,809/7,971.75
  6. Step 6: Final answer
    x = 38,649.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.