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Finding the Third Proportional to 30,205 and 44,383

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Solution

The third proportional to 30,205 and 44,383 is: 65,216.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205 : 44,383 = 44,383 : x
  2. Step 2: Convert to fraction form
    30,205/44,383 = 44,383/x
  3. Step 3: Cross multiply
    30,205x = 44,383 × 44,383
  4. Step 4: Simplify right side
    30,205x = 1,969,850,689
  5. Step 5: Solve for x
    x = 1,969,850,689/30,205
  6. Step 6: Final answer
    x = 65,216.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.