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Finding the Third Proportional to 29,951 and 65,215

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Solution

The third proportional to 29,951 and 65,215 is: 141,998.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,951 : 65,215 = 65,215 : x
  2. Step 2: Convert to fraction form
    29,951/65,215 = 65,215/x
  3. Step 3: Cross multiply
    29,951x = 65,215 × 65,215
  4. Step 4: Simplify right side
    29,951x = 4,252,996,225
  5. Step 5: Solve for x
    x = 4,252,996,225/29,951
  6. Step 6: Final answer
    x = 141,998.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.