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Finding the Third Proportional to 36,024.75 and 77,031

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Solution

The third proportional to 36,024.75 and 77,031 is: 164,713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,024.75 : 77,031 = 77,031 : x
  2. Step 2: Convert to fraction form
    36,024.75/77,031 = 77,031/x
  3. Step 3: Cross multiply
    36,024.75x = 77,031 × 77,031
  4. Step 4: Simplify right side
    36,024.75x = 5,933,774,961
  5. Step 5: Solve for x
    x = 5,933,774,961/36,024.75
  6. Step 6: Final answer
    x = 164,713.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.