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Finding the Third Proportional to 40,004 and 59,782

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Solution

The third proportional to 40,004 and 59,782 is: 89,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,004 : 59,782 = 59,782 : x
  2. Step 2: Convert to fraction form
    40,004/59,782 = 59,782/x
  3. Step 3: Cross multiply
    40,004x = 59,782 × 59,782
  4. Step 4: Simplify right side
    40,004x = 3,573,887,524
  5. Step 5: Solve for x
    x = 3,573,887,524/40,004
  6. Step 6: Final answer
    x = 89,338.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.