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Finding the Third Proportional to 40,408 and 86,432

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Solution

The third proportional to 40,408 and 86,432 is: 184,876.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,408 : 86,432 = 86,432 : x
  2. Step 2: Convert to fraction form
    40,408/86,432 = 86,432/x
  3. Step 3: Cross multiply
    40,408x = 86,432 × 86,432
  4. Step 4: Simplify right side
    40,408x = 7,470,490,624
  5. Step 5: Solve for x
    x = 7,470,490,624/40,408
  6. Step 6: Final answer
    x = 184,876.53

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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.