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Finding the Third Proportional to 29,561 and 65,683

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Solution

The third proportional to 29,561 and 65,683 is: 145,944.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,561 : 65,683 = 65,683 : x
  2. Step 2: Convert to fraction form
    29,561/65,683 = 65,683/x
  3. Step 3: Cross multiply
    29,561x = 65,683 × 65,683
  4. Step 4: Simplify right side
    29,561x = 4,314,256,489
  5. Step 5: Solve for x
    x = 4,314,256,489/29,561
  6. Step 6: Final answer
    x = 145,944.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.