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Finding the Third Proportional to 36,308 and 54,462

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Solution

The third proportional to 36,308 and 54,462 is: 81,693

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,308 : 54,462 = 54,462 : x
  2. Step 2: Convert to fraction form
    36,308/54,462 = 54,462/x
  3. Step 3: Cross multiply
    36,308x = 54,462 × 54,462
  4. Step 4: Simplify right side
    36,308x = 2,966,109,444
  5. Step 5: Solve for x
    x = 2,966,109,444/36,308
  6. Step 6: Final answer
    x = 81,693

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.