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Finding the Third Proportional to 40,022 and 85,854

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Solution

The third proportional to 40,022 and 85,854 is: 184,171.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,022 : 85,854 = 85,854 : x
  2. Step 2: Convert to fraction form
    40,022/85,854 = 85,854/x
  3. Step 3: Cross multiply
    40,022x = 85,854 × 85,854
  4. Step 4: Simplify right side
    40,022x = 7,370,909,316
  5. Step 5: Solve for x
    x = 7,370,909,316/40,022
  6. Step 6: Final answer
    x = 184,171.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.