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Finding the Third Proportional to 1,030.85 and 1,919.32

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Solution

The third proportional to 1,030.85 and 1,919.32 is: 3,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.85 : 1,919.32 = 1,919.32 : x
  2. Step 2: Convert to fraction form
    1,030.85/1,919.32 = 1,919.32/x
  3. Step 3: Cross multiply
    1,030.85x = 1,919.32 × 1,919.32
  4. Step 4: Simplify right side
    1,030.85x = 3,683,790.46
  5. Step 5: Solve for x
    x = 3,683,790.46/1,030.85
  6. Step 6: Final answer
    x = 3,573.54

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.