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Finding the Third Proportional to 1,446.61 and 3,111.06

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Solution

The third proportional to 1,446.61 and 3,111.06 is: 6,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.61 : 3,111.06 = 3,111.06 : x
  2. Step 2: Convert to fraction form
    1,446.61/3,111.06 = 3,111.06/x
  3. Step 3: Cross multiply
    1,446.61x = 3,111.06 × 3,111.06
  4. Step 4: Simplify right side
    1,446.61x = 9,678,722.03
  5. Step 5: Solve for x
    x = 9,678,722.03/1,446.61
  6. Step 6: Final answer
    x = 6,690.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.