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Finding the Third Proportional to 43,830 and 65,727

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Solution

The third proportional to 43,830 and 65,727 is: 98,563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,830 : 65,727 = 65,727 : x
  2. Step 2: Convert to fraction form
    43,830/65,727 = 65,727/x
  3. Step 3: Cross multiply
    43,830x = 65,727 × 65,727
  4. Step 4: Simplify right side
    43,830x = 4,320,038,529
  5. Step 5: Solve for x
    x = 4,320,038,529/43,830
  6. Step 6: Final answer
    x = 98,563.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.