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Finding the Third Proportional to 30,807 and 63,073.69

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Solution

The third proportional to 30,807 and 63,073.69 is: 129,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807 : 63,073.69 = 63,073.69 : x
  2. Step 2: Convert to fraction form
    30,807/63,073.69 = 63,073.69/x
  3. Step 3: Cross multiply
    30,807x = 63,073.69 × 63,073.69
  4. Step 4: Simplify right side
    30,807x = 3,978,290,054.85
  5. Step 5: Solve for x
    x = 3,978,290,054.85/30,807
  6. Step 6: Final answer
    x = 129,135.91

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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.