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Finding the Third Proportional to 36,216 and 76,365

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Solution

The third proportional to 36,216 and 76,365 is: 161,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,216 : 76,365 = 76,365 : x
  2. Step 2: Convert to fraction form
    36,216/76,365 = 76,365/x
  3. Step 3: Cross multiply
    36,216x = 76,365 × 76,365
  4. Step 4: Simplify right side
    36,216x = 5,831,613,225
  5. Step 5: Solve for x
    x = 5,831,613,225/36,216
  6. Step 6: Final answer
    x = 161,023.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.