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Finding the Third Proportional to 29,962 and 65,655

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Solution

The third proportional to 29,962 and 65,655 is: 143,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,962 : 65,655 = 65,655 : x
  2. Step 2: Convert to fraction form
    29,962/65,655 = 65,655/x
  3. Step 3: Cross multiply
    29,962x = 65,655 × 65,655
  4. Step 4: Simplify right side
    29,962x = 4,310,579,025
  5. Step 5: Solve for x
    x = 4,310,579,025/29,962
  6. Step 6: Final answer
    x = 143,868.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.