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Finding the Third Proportional to 1,426.36 and 3,134.95

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Solution

The third proportional to 1,426.36 and 3,134.95 is: 6,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.36 : 3,134.95 = 3,134.95 : x
  2. Step 2: Convert to fraction form
    1,426.36/3,134.95 = 3,134.95/x
  3. Step 3: Cross multiply
    1,426.36x = 3,134.95 × 3,134.95
  4. Step 4: Simplify right side
    1,426.36x = 9,827,931.10
  5. Step 5: Solve for x
    x = 9,827,931.10/1,426.36
  6. Step 6: Final answer
    x = 6,890.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.