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Finding the Third Proportional to 30,657 and 43,383

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Solution

The third proportional to 30,657 and 43,383 is: 61,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657 : 43,383 = 43,383 : x
  2. Step 2: Convert to fraction form
    30,657/43,383 = 43,383/x
  3. Step 3: Cross multiply
    30,657x = 43,383 × 43,383
  4. Step 4: Simplify right side
    30,657x = 1,882,084,689
  5. Step 5: Solve for x
    x = 1,882,084,689/30,657
  6. Step 6: Final answer
    x = 61,391.68

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.