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Finding the Third Proportional to 1,823.06 and 1,982.53

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Solution

The third proportional to 1,823.06 and 1,982.53 is: 2,155.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.06 : 1,982.53 = 1,982.53 : x
  2. Step 2: Convert to fraction form
    1,823.06/1,982.53 = 1,982.53/x
  3. Step 3: Cross multiply
    1,823.06x = 1,982.53 × 1,982.53
  4. Step 4: Simplify right side
    1,823.06x = 3,930,430.16
  5. Step 5: Solve for x
    x = 3,930,430.16/1,823.06
  6. Step 6: Final answer
    x = 2,155.95

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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.