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Finding the Third Proportional to 9,268.50 and 18,070.50

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Solution

The third proportional to 9,268.50 and 18,070.50 is: 35,231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.50 : 18,070.50 = 18,070.50 : x
  2. Step 2: Convert to fraction form
    9,268.50/18,070.50 = 18,070.50/x
  3. Step 3: Cross multiply
    9,268.50x = 18,070.50 × 18,070.50
  4. Step 4: Simplify right side
    9,268.50x = 326,542,970.25
  5. Step 5: Solve for x
    x = 326,542,970.25/9,268.50
  6. Step 6: Final answer
    x = 35,231.48

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.