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Finding the Third Proportional to 29,563.50 and 35,031

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Solution

The third proportional to 29,563.50 and 35,031 is: 41,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,563.50 : 35,031 = 35,031 : x
  2. Step 2: Convert to fraction form
    29,563.50/35,031 = 35,031/x
  3. Step 3: Cross multiply
    29,563.50x = 35,031 × 35,031
  4. Step 4: Simplify right side
    29,563.50x = 1,227,170,961
  5. Step 5: Solve for x
    x = 1,227,170,961/29,563.50
  6. Step 6: Final answer
    x = 41,509.66

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.