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Finding the Third Proportional to 29,646 and 65,124

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Solution

The third proportional to 29,646 and 65,124 is: 143,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,646 : 65,124 = 65,124 : x
  2. Step 2: Convert to fraction form
    29,646/65,124 = 65,124/x
  3. Step 3: Cross multiply
    29,646x = 65,124 × 65,124
  4. Step 4: Simplify right side
    29,646x = 4,241,135,376
  5. Step 5: Solve for x
    x = 4,241,135,376/29,646
  6. Step 6: Final answer
    x = 143,059.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.