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Finding the Third Proportional to 2,420 and 3,833.50

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Solution

The third proportional to 2,420 and 3,833.50 is: 6,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420 : 3,833.50 = 3,833.50 : x
  2. Step 2: Convert to fraction form
    2,420/3,833.50 = 3,833.50/x
  3. Step 3: Cross multiply
    2,420x = 3,833.50 × 3,833.50
  4. Step 4: Simplify right side
    2,420x = 14,695,722.25
  5. Step 5: Solve for x
    x = 14,695,722.25/2,420
  6. Step 6: Final answer
    x = 6,072.61

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.