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Finding the Third Proportional to 1,059.19 and 2,319.19

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Solution

The third proportional to 1,059.19 and 2,319.19 is: 5,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.19 : 2,319.19 = 2,319.19 : x
  2. Step 2: Convert to fraction form
    1,059.19/2,319.19 = 2,319.19/x
  3. Step 3: Cross multiply
    1,059.19x = 2,319.19 × 2,319.19
  4. Step 4: Simplify right side
    1,059.19x = 5,378,630.66
  5. Step 5: Solve for x
    x = 5,378,630.66/1,059.19
  6. Step 6: Final answer
    x = 5,078.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.