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Finding the Third Proportional to 1,620 and 2,478.09

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Solution

The third proportional to 1,620 and 2,478.09 is: 3,790.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620 : 2,478.09 = 2,478.09 : x
  2. Step 2: Convert to fraction form
    1,620/2,478.09 = 2,478.09/x
  3. Step 3: Cross multiply
    1,620x = 2,478.09 × 2,478.09
  4. Step 4: Simplify right side
    1,620x = 6,140,948.63
  5. Step 5: Solve for x
    x = 6,140,948.63/1,620
  6. Step 6: Final answer
    x = 3,790.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.