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Finding the Third Proportional to 29,566 and 65,693

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Solution

The third proportional to 29,566 and 65,693 is: 145,963.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,566 : 65,693 = 65,693 : x
  2. Step 2: Convert to fraction form
    29,566/65,693 = 65,693/x
  3. Step 3: Cross multiply
    29,566x = 65,693 × 65,693
  4. Step 4: Simplify right side
    29,566x = 4,315,570,249
  5. Step 5: Solve for x
    x = 4,315,570,249/29,566
  6. Step 6: Final answer
    x = 145,963.95

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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.