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Finding the Third Proportional to 1,618.31 and 2,050.52

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Solution

The third proportional to 1,618.31 and 2,050.52 is: 2,598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.31 : 2,050.52 = 2,050.52 : x
  2. Step 2: Convert to fraction form
    1,618.31/2,050.52 = 2,050.52/x
  3. Step 3: Cross multiply
    1,618.31x = 2,050.52 × 2,050.52
  4. Step 4: Simplify right side
    1,618.31x = 4,204,646.37
  5. Step 5: Solve for x
    x = 4,204,646.37/1,618.31
  6. Step 6: Final answer
    x = 2,598.17

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.