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Finding the Third Proportional to 1,445.06 and 3,109.31

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Solution

The third proportional to 1,445.06 and 3,109.31 is: 6,690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.06 : 3,109.31 = 3,109.31 : x
  2. Step 2: Convert to fraction form
    1,445.06/3,109.31 = 3,109.31/x
  3. Step 3: Cross multiply
    1,445.06x = 3,109.31 × 3,109.31
  4. Step 4: Simplify right side
    1,445.06x = 9,667,824.22
  5. Step 5: Solve for x
    x = 9,667,824.22/1,445.06
  6. Step 6: Final answer
    x = 6,690.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.