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Finding the Third Proportional to 31,002 and 45,045

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Solution

The third proportional to 31,002 and 45,045 is: 65,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,002 : 45,045 = 45,045 : x
  2. Step 2: Convert to fraction form
    31,002/45,045 = 45,045/x
  3. Step 3: Cross multiply
    31,002x = 45,045 × 45,045
  4. Step 4: Simplify right side
    31,002x = 2,029,052,025
  5. Step 5: Solve for x
    x = 2,029,052,025/31,002
  6. Step 6: Final answer
    x = 65,449.07

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.