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Finding the Third Proportional to 30,233 and 70,598

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Solution

The third proportional to 30,233 and 70,598 is: 164,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,233 : 70,598 = 70,598 : x
  2. Step 2: Convert to fraction form
    30,233/70,598 = 70,598/x
  3. Step 3: Cross multiply
    30,233x = 70,598 × 70,598
  4. Step 4: Simplify right side
    30,233x = 4,984,077,604
  5. Step 5: Solve for x
    x = 4,984,077,604/30,233
  6. Step 6: Final answer
    x = 164,855.54

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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.