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Finding the Third Proportional to 29,260 and 40,002

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Solution

The third proportional to 29,260 and 40,002 is: 54,687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,260 : 40,002 = 40,002 : x
  2. Step 2: Convert to fraction form
    29,260/40,002 = 40,002/x
  3. Step 3: Cross multiply
    29,260x = 40,002 × 40,002
  4. Step 4: Simplify right side
    29,260x = 1,600,160,004
  5. Step 5: Solve for x
    x = 1,600,160,004/29,260
  6. Step 6: Final answer
    x = 54,687.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.