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Finding the Third Proportional to 2,273.06 and 2,485.69

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Solution

The third proportional to 2,273.06 and 2,485.69 is: 2,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.06 : 2,485.69 = 2,485.69 : x
  2. Step 2: Convert to fraction form
    2,273.06/2,485.69 = 2,485.69/x
  3. Step 3: Cross multiply
    2,273.06x = 2,485.69 × 2,485.69
  4. Step 4: Simplify right side
    2,273.06x = 6,178,642.35
  5. Step 5: Solve for x
    x = 6,178,642.35/2,273.06
  6. Step 6: Final answer
    x = 2,718.20

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.