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Finding the Third Proportional to 40,036 and 62,804

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Solution

The third proportional to 40,036 and 62,804 is: 98,519.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,036 : 62,804 = 62,804 : x
  2. Step 2: Convert to fraction form
    40,036/62,804 = 62,804/x
  3. Step 3: Cross multiply
    40,036x = 62,804 × 62,804
  4. Step 4: Simplify right side
    40,036x = 3,944,342,416
  5. Step 5: Solve for x
    x = 3,944,342,416/40,036
  6. Step 6: Final answer
    x = 98,519.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.