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Finding the Third Proportional to 9,059.25 and 18,374.63

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Solution

The third proportional to 9,059.25 and 18,374.63 is: 37,268.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,059.25 : 18,374.63 = 18,374.63 : x
  2. Step 2: Convert to fraction form
    9,059.25/18,374.63 = 18,374.63/x
  3. Step 3: Cross multiply
    9,059.25x = 18,374.63 × 18,374.63
  4. Step 4: Simplify right side
    9,059.25x = 337,626,843.89
  5. Step 5: Solve for x
    x = 337,626,843.89/9,059.25
  6. Step 6: Final answer
    x = 37,268.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.