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Finding the Third Proportional to 40,966 and 65,315

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Solution

The third proportional to 40,966 and 65,315 is: 104,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,966 : 65,315 = 65,315 : x
  2. Step 2: Convert to fraction form
    40,966/65,315 = 65,315/x
  3. Step 3: Cross multiply
    40,966x = 65,315 × 65,315
  4. Step 4: Simplify right side
    40,966x = 4,266,049,225
  5. Step 5: Solve for x
    x = 4,266,049,225/40,966
  6. Step 6: Final answer
    x = 104,136.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.