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Finding the Third Proportional to 515.81 and 1,050.19

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Solution

The third proportional to 515.81 and 1,050.19 is: 2,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.81 : 1,050.19 = 1,050.19 : x
  2. Step 2: Convert to fraction form
    515.81/1,050.19 = 1,050.19/x
  3. Step 3: Cross multiply
    515.81x = 1,050.19 × 1,050.19
  4. Step 4: Simplify right side
    515.81x = 1,102,893.79
  5. Step 5: Solve for x
    x = 1,102,893.79/515.81
  6. Step 6: Final answer
    x = 2,138.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.