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Finding the Third Proportional to 20,670 and 30,959.25

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Solution

The third proportional to 20,670 and 30,959.25 is: 46,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,670 : 30,959.25 = 30,959.25 : x
  2. Step 2: Convert to fraction form
    20,670/30,959.25 = 30,959.25/x
  3. Step 3: Cross multiply
    20,670x = 30,959.25 × 30,959.25
  4. Step 4: Simplify right side
    20,670x = 958,475,160.56
  5. Step 5: Solve for x
    x = 958,475,160.56/20,670
  6. Step 6: Final answer
    x = 46,370.35

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