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Finding the Third Proportional to 30,690.75 and 46,150.13

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Solution

The third proportional to 30,690.75 and 46,150.13 is: 69,396.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,690.75 : 46,150.13 = 46,150.13 : x
  2. Step 2: Convert to fraction form
    30,690.75/46,150.13 = 46,150.13/x
  3. Step 3: Cross multiply
    30,690.75x = 46,150.13 × 46,150.13
  4. Step 4: Simplify right side
    30,690.75x = 2,129,834,037.52
  5. Step 5: Solve for x
    x = 2,129,834,037.52/30,690.75
  6. Step 6: Final answer
    x = 69,396.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.