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Finding the Third Proportional to 31,104 and 32,000.06

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Solution

The third proportional to 31,104 and 32,000.06 is: 32,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104 : 32,000.06 = 32,000.06 : x
  2. Step 2: Convert to fraction form
    31,104/32,000.06 = 32,000.06/x
  3. Step 3: Cross multiply
    31,104x = 32,000.06 × 32,000.06
  4. Step 4: Simplify right side
    31,104x = 1,024,004,000.00
  5. Step 5: Solve for x
    x = 1,024,004,000.00/31,104
  6. Step 6: Final answer
    x = 32,921.94

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.