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Finding the Third Proportional to 2,268.28 and 3,416.06

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Solution

The third proportional to 2,268.28 and 3,416.06 is: 5,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.28 : 3,416.06 = 3,416.06 : x
  2. Step 2: Convert to fraction form
    2,268.28/3,416.06 = 3,416.06/x
  3. Step 3: Cross multiply
    2,268.28x = 3,416.06 × 3,416.06
  4. Step 4: Simplify right side
    2,268.28x = 11,669,483.00
  5. Step 5: Solve for x
    x = 11,669,483.00/2,268.28
  6. Step 6: Final answer
    x = 5,144.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.