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Finding the Third Proportional to 30,452 and 65,728

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Solution

The third proportional to 30,452 and 65,728 is: 141,868.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452 : 65,728 = 65,728 : x
  2. Step 2: Convert to fraction form
    30,452/65,728 = 65,728/x
  3. Step 3: Cross multiply
    30,452x = 65,728 × 65,728
  4. Step 4: Simplify right side
    30,452x = 4,320,169,984
  5. Step 5: Solve for x
    x = 4,320,169,984/30,452
  6. Step 6: Final answer
    x = 141,868.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.