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Finding the Third Proportional to 29,840 and 65,006

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Solution

The third proportional to 29,840 and 65,006 is: 141,614.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,840 : 65,006 = 65,006 : x
  2. Step 2: Convert to fraction form
    29,840/65,006 = 65,006/x
  3. Step 3: Cross multiply
    29,840x = 65,006 × 65,006
  4. Step 4: Simplify right side
    29,840x = 4,225,780,036
  5. Step 5: Solve for x
    x = 4,225,780,036/29,840
  6. Step 6: Final answer
    x = 141,614.61

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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.