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Finding the Third Proportional to 2,027.81 and 2,476.69

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Solution

The third proportional to 2,027.81 and 2,476.69 is: 3,024.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.81 : 2,476.69 = 2,476.69 : x
  2. Step 2: Convert to fraction form
    2,027.81/2,476.69 = 2,476.69/x
  3. Step 3: Cross multiply
    2,027.81x = 2,476.69 × 2,476.69
  4. Step 4: Simplify right side
    2,027.81x = 6,133,980.97
  5. Step 5: Solve for x
    x = 6,133,980.97/2,027.81
  6. Step 6: Final answer
    x = 3,024.93

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.