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Finding the Third Proportional to 17,268.50 and 35,765.50

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Solution

The third proportional to 17,268.50 and 35,765.50 is: 74,075.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,268.50 : 35,765.50 = 35,765.50 : x
  2. Step 2: Convert to fraction form
    17,268.50/35,765.50 = 35,765.50/x
  3. Step 3: Cross multiply
    17,268.50x = 35,765.50 × 35,765.50
  4. Step 4: Simplify right side
    17,268.50x = 1,279,170,990.25
  5. Step 5: Solve for x
    x = 1,279,170,990.25/17,268.50
  6. Step 6: Final answer
    x = 74,075.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.