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Finding the Third Proportional to 1,419.19 and 2,159.44

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Solution

The third proportional to 1,419.19 and 2,159.44 is: 3,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.19 : 2,159.44 = 2,159.44 : x
  2. Step 2: Convert to fraction form
    1,419.19/2,159.44 = 2,159.44/x
  3. Step 3: Cross multiply
    1,419.19x = 2,159.44 × 2,159.44
  4. Step 4: Simplify right side
    1,419.19x = 4,663,170.32
  5. Step 5: Solve for x
    x = 4,663,170.32/1,419.19
  6. Step 6: Final answer
    x = 3,285.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.