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Finding the Third Proportional to 34,382 and 72,497

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Solution

The third proportional to 34,382 and 72,497 is: 152,865.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,382 : 72,497 = 72,497 : x
  2. Step 2: Convert to fraction form
    34,382/72,497 = 72,497/x
  3. Step 3: Cross multiply
    34,382x = 72,497 × 72,497
  4. Step 4: Simplify right side
    34,382x = 5,255,815,009
  5. Step 5: Solve for x
    x = 5,255,815,009/34,382
  6. Step 6: Final answer
    x = 152,865.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.