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Finding the Third Proportional to 1,498.69 and 2,268.94

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Solution

The third proportional to 1,498.69 and 2,268.94 is: 3,435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.69 : 2,268.94 = 2,268.94 : x
  2. Step 2: Convert to fraction form
    1,498.69/2,268.94 = 2,268.94/x
  3. Step 3: Cross multiply
    1,498.69x = 2,268.94 × 2,268.94
  4. Step 4: Simplify right side
    1,498.69x = 5,148,077.38
  5. Step 5: Solve for x
    x = 5,148,077.38/1,498.69
  6. Step 6: Final answer
    x = 3,435.06

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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.