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Finding the Third Proportional to 30,291 and 61,816.50

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Solution

The third proportional to 30,291 and 61,816.50 is: 126,152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291 : 61,816.50 = 61,816.50 : x
  2. Step 2: Convert to fraction form
    30,291/61,816.50 = 61,816.50/x
  3. Step 3: Cross multiply
    30,291x = 61,816.50 × 61,816.50
  4. Step 4: Simplify right side
    30,291x = 3,821,279,672.25
  5. Step 5: Solve for x
    x = 3,821,279,672.25/30,291
  6. Step 6: Final answer
    x = 126,152.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.