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Finding the Third Proportional to 1,426.99 and 3,304.55

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Solution

The third proportional to 1,426.99 and 3,304.55 is: 7,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.99 : 3,304.55 = 3,304.55 : x
  2. Step 2: Convert to fraction form
    1,426.99/3,304.55 = 3,304.55/x
  3. Step 3: Cross multiply
    1,426.99x = 3,304.55 × 3,304.55
  4. Step 4: Simplify right side
    1,426.99x = 10,920,030.05
  5. Step 5: Solve for x
    x = 10,920,030.05/1,426.99
  6. Step 6: Final answer
    x = 7,652.48

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.