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Finding the Third Proportional to 2,439 and 3,829.50

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Solution

The third proportional to 2,439 and 3,829.50 is: 6,012.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439 : 3,829.50 = 3,829.50 : x
  2. Step 2: Convert to fraction form
    2,439/3,829.50 = 3,829.50/x
  3. Step 3: Cross multiply
    2,439x = 3,829.50 × 3,829.50
  4. Step 4: Simplify right side
    2,439x = 14,665,070.25
  5. Step 5: Solve for x
    x = 14,665,070.25/2,439
  6. Step 6: Final answer
    x = 6,012.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.