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Finding the Third Proportional to 40,729 and 59,635.50

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Solution

The third proportional to 40,729 and 59,635.50 is: 87,318.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,729 : 59,635.50 = 59,635.50 : x
  2. Step 2: Convert to fraction form
    40,729/59,635.50 = 59,635.50/x
  3. Step 3: Cross multiply
    40,729x = 59,635.50 × 59,635.50
  4. Step 4: Simplify right side
    40,729x = 3,556,392,860.25
  5. Step 5: Solve for x
    x = 3,556,392,860.25/40,729
  6. Step 6: Final answer
    x = 87,318.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.