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Finding the Third Proportional to 30,890.25 and 62,873.25

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Solution

The third proportional to 30,890.25 and 62,873.25 is: 127,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,890.25 : 62,873.25 = 62,873.25 : x
  2. Step 2: Convert to fraction form
    30,890.25/62,873.25 = 62,873.25/x
  3. Step 3: Cross multiply
    30,890.25x = 62,873.25 × 62,873.25
  4. Step 4: Simplify right side
    30,890.25x = 3,953,045,565.56
  5. Step 5: Solve for x
    x = 3,953,045,565.56/30,890.25
  6. Step 6: Final answer
    x = 127,970.66

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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.