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Finding the Third Proportional to 34,893 and 76,306

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Solution

The third proportional to 34,893 and 76,306 is: 166,870.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,893 : 76,306 = 76,306 : x
  2. Step 2: Convert to fraction form
    34,893/76,306 = 76,306/x
  3. Step 3: Cross multiply
    34,893x = 76,306 × 76,306
  4. Step 4: Simplify right side
    34,893x = 5,822,605,636
  5. Step 5: Solve for x
    x = 5,822,605,636/34,893
  6. Step 6: Final answer
    x = 166,870.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.