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Finding the Third Proportional to 2,489.06 and 2,840.06

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Solution

The third proportional to 2,489.06 and 2,840.06 is: 3,240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.06 : 2,840.06 = 2,840.06 : x
  2. Step 2: Convert to fraction form
    2,489.06/2,840.06 = 2,840.06/x
  3. Step 3: Cross multiply
    2,489.06x = 2,840.06 × 2,840.06
  4. Step 4: Simplify right side
    2,489.06x = 8,065,955.00
  5. Step 5: Solve for x
    x = 8,065,955.00/2,489.06
  6. Step 6: Final answer
    x = 3,240.56

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.