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Finding the Third Proportional to 1,648.27 and 3,085.17

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Solution

The third proportional to 1,648.27 and 3,085.17 is: 5,774.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.27 : 3,085.17 = 3,085.17 : x
  2. Step 2: Convert to fraction form
    1,648.27/3,085.17 = 3,085.17/x
  3. Step 3: Cross multiply
    1,648.27x = 3,085.17 × 3,085.17
  4. Step 4: Simplify right side
    1,648.27x = 9,518,285.50
  5. Step 5: Solve for x
    x = 9,518,285.50/1,648.27
  6. Step 6: Final answer
    x = 5,774.73

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.