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Finding the Third Proportional to 30,957 and 72,333

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Solution

The third proportional to 30,957 and 72,333 is: 169,010.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,957 : 72,333 = 72,333 : x
  2. Step 2: Convert to fraction form
    30,957/72,333 = 72,333/x
  3. Step 3: Cross multiply
    30,957x = 72,333 × 72,333
  4. Step 4: Simplify right side
    30,957x = 5,232,062,889
  5. Step 5: Solve for x
    x = 5,232,062,889/30,957
  6. Step 6: Final answer
    x = 169,010.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.