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Finding the Third Proportional to 30,107 and 45,383

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Solution

The third proportional to 30,107 and 45,383 is: 68,409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,107 : 45,383 = 45,383 : x
  2. Step 2: Convert to fraction form
    30,107/45,383 = 45,383/x
  3. Step 3: Cross multiply
    30,107x = 45,383 × 45,383
  4. Step 4: Simplify right side
    30,107x = 2,059,616,689
  5. Step 5: Solve for x
    x = 2,059,616,689/30,107
  6. Step 6: Final answer
    x = 68,409.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.