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Finding the Third Proportional to 30,013 and 44,434

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Solution

The third proportional to 30,013 and 44,434 is: 65,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,013 : 44,434 = 44,434 : x
  2. Step 2: Convert to fraction form
    30,013/44,434 = 44,434/x
  3. Step 3: Cross multiply
    30,013x = 44,434 × 44,434
  4. Step 4: Simplify right side
    30,013x = 1,974,380,356
  5. Step 5: Solve for x
    x = 1,974,380,356/30,013
  6. Step 6: Final answer
    x = 65,784.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.