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Finding the Third Proportional to 30,418 and 65,039

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Solution

The third proportional to 30,418 and 65,039 is: 139,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,418 : 65,039 = 65,039 : x
  2. Step 2: Convert to fraction form
    30,418/65,039 = 65,039/x
  3. Step 3: Cross multiply
    30,418x = 65,039 × 65,039
  4. Step 4: Simplify right side
    30,418x = 4,230,071,521
  5. Step 5: Solve for x
    x = 4,230,071,521/30,418
  6. Step 6: Final answer
    x = 139,064.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.