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Finding the Third Proportional to 40,024 and 85,858

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Solution

The third proportional to 40,024 and 85,858 is: 184,179.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,024 : 85,858 = 85,858 : x
  2. Step 2: Convert to fraction form
    40,024/85,858 = 85,858/x
  3. Step 3: Cross multiply
    40,024x = 85,858 × 85,858
  4. Step 4: Simplify right side
    40,024x = 7,371,596,164
  5. Step 5: Solve for x
    x = 7,371,596,164/40,024
  6. Step 6: Final answer
    x = 184,179.40

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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.