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Finding the Third Proportional to 34,518.94 and 76,813.88

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Solution

The third proportional to 34,518.94 and 76,813.88 is: 170,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,518.94 : 76,813.88 = 76,813.88 : x
  2. Step 2: Convert to fraction form
    34,518.94/76,813.88 = 76,813.88/x
  3. Step 3: Cross multiply
    34,518.94x = 76,813.88 × 76,813.88
  4. Step 4: Simplify right side
    34,518.94x = 5,900,371,392.52
  5. Step 5: Solve for x
    x = 5,900,371,392.52/34,518.94
  6. Step 6: Final answer
    x = 170,931.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.