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Finding the Third Proportional to 30,283.88 and 61,797.94

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Solution

The third proportional to 30,283.88 and 61,797.94 is: 126,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,283.88 : 61,797.94 = 61,797.94 : x
  2. Step 2: Convert to fraction form
    30,283.88/61,797.94 = 61,797.94/x
  3. Step 3: Cross multiply
    30,283.88x = 61,797.94 × 61,797.94
  4. Step 4: Simplify right side
    30,283.88x = 3,818,985,079.25
  5. Step 5: Solve for x
    x = 3,818,985,079.25/30,283.88
  6. Step 6: Final answer
    x = 126,106.22

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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.