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Finding the Third Proportional to 489.16 and 1,018.83

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Solution

The third proportional to 489.16 and 1,018.83 is: 2,122.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.16 : 1,018.83 = 1,018.83 : x
  2. Step 2: Convert to fraction form
    489.16/1,018.83 = 1,018.83/x
  3. Step 3: Cross multiply
    489.16x = 1,018.83 × 1,018.83
  4. Step 4: Simplify right side
    489.16x = 1,038,010.75
  5. Step 5: Solve for x
    x = 1,038,010.75/489.16
  6. Step 6: Final answer
    x = 2,122.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.