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Finding the Third Proportional to 29,852 and 65,914

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Solution

The third proportional to 29,852 and 65,914 is: 145,539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,852 : 65,914 = 65,914 : x
  2. Step 2: Convert to fraction form
    29,852/65,914 = 65,914/x
  3. Step 3: Cross multiply
    29,852x = 65,914 × 65,914
  4. Step 4: Simplify right side
    29,852x = 4,344,655,396
  5. Step 5: Solve for x
    x = 4,344,655,396/29,852
  6. Step 6: Final answer
    x = 145,539.84

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.