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Finding the Third Proportional to 2,035 and 2,829.50

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Solution

The third proportional to 2,035 and 2,829.50 is: 3,934.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035 : 2,829.50 = 2,829.50 : x
  2. Step 2: Convert to fraction form
    2,035/2,829.50 = 2,829.50/x
  3. Step 3: Cross multiply
    2,035x = 2,829.50 × 2,829.50
  4. Step 4: Simplify right side
    2,035x = 8,006,070.25
  5. Step 5: Solve for x
    x = 8,006,070.25/2,035
  6. Step 6: Final answer
    x = 3,934.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.