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Finding the Third Proportional to 30,594 and 62,834

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Solution

The third proportional to 30,594 and 62,834 is: 129,048.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594 : 62,834 = 62,834 : x
  2. Step 2: Convert to fraction form
    30,594/62,834 = 62,834/x
  3. Step 3: Cross multiply
    30,594x = 62,834 × 62,834
  4. Step 4: Simplify right side
    30,594x = 3,948,111,556
  5. Step 5: Solve for x
    x = 3,948,111,556/30,594
  6. Step 6: Final answer
    x = 129,048.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.