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Finding the Third Proportional to 40,407 and 86,430

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Solution

The third proportional to 40,407 and 86,430 is: 184,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,407 : 86,430 = 86,430 : x
  2. Step 2: Convert to fraction form
    40,407/86,430 = 86,430/x
  3. Step 3: Cross multiply
    40,407x = 86,430 × 86,430
  4. Step 4: Simplify right side
    40,407x = 7,470,144,900
  5. Step 5: Solve for x
    x = 7,470,144,900/40,407
  6. Step 6: Final answer
    x = 184,872.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.