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Finding the Third Proportional to 2,027.63 and 3,095.63

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Solution

The third proportional to 2,027.63 and 3,095.63 is: 4,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.63 : 3,095.63 = 3,095.63 : x
  2. Step 2: Convert to fraction form
    2,027.63/3,095.63 = 3,095.63/x
  3. Step 3: Cross multiply
    2,027.63x = 3,095.63 × 3,095.63
  4. Step 4: Simplify right side
    2,027.63x = 9,582,894.14
  5. Step 5: Solve for x
    x = 9,582,894.14/2,027.63
  6. Step 6: Final answer
    x = 4,726.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.