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Finding the Third Proportional to 1,458.56 and 3,059.44

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Solution

The third proportional to 1,458.56 and 3,059.44 is: 6,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.56 : 3,059.44 = 3,059.44 : x
  2. Step 2: Convert to fraction form
    1,458.56/3,059.44 = 3,059.44/x
  3. Step 3: Cross multiply
    1,458.56x = 3,059.44 × 3,059.44
  4. Step 4: Simplify right side
    1,458.56x = 9,360,157.82
  5. Step 5: Solve for x
    x = 9,360,157.82/1,458.56
  6. Step 6: Final answer
    x = 6,417.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.