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Finding the Third Proportional to 29,165.50 and 62,462

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Solution

The third proportional to 29,165.50 and 62,462 is: 133,771.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,165.50 : 62,462 = 62,462 : x
  2. Step 2: Convert to fraction form
    29,165.50/62,462 = 62,462/x
  3. Step 3: Cross multiply
    29,165.50x = 62,462 × 62,462
  4. Step 4: Simplify right side
    29,165.50x = 3,901,501,444
  5. Step 5: Solve for x
    x = 3,901,501,444/29,165.50
  6. Step 6: Final answer
    x = 133,771.11

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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.