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Finding the Third Proportional to 30,283 and 61,793

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Solution

The third proportional to 30,283 and 61,793 is: 126,089.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,283 : 61,793 = 61,793 : x
  2. Step 2: Convert to fraction form
    30,283/61,793 = 61,793/x
  3. Step 3: Cross multiply
    30,283x = 61,793 × 61,793
  4. Step 4: Simplify right side
    30,283x = 3,818,374,849
  5. Step 5: Solve for x
    x = 3,818,374,849/30,283
  6. Step 6: Final answer
    x = 126,089.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.