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Finding the Third Proportional to 1,346.30 and 2,011.36

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Solution

The third proportional to 1,346.30 and 2,011.36 is: 3,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.30 : 2,011.36 = 2,011.36 : x
  2. Step 2: Convert to fraction form
    1,346.30/2,011.36 = 2,011.36/x
  3. Step 3: Cross multiply
    1,346.30x = 2,011.36 × 2,011.36
  4. Step 4: Simplify right side
    1,346.30x = 4,045,566.54
  5. Step 5: Solve for x
    x = 4,045,566.54/1,346.30
  6. Step 6: Final answer
    x = 3,004.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.