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Finding the Third Proportional to 1,858.61 and 2,736.57

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Solution

The third proportional to 1,858.61 and 2,736.57 is: 4,029.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.61 : 2,736.57 = 2,736.57 : x
  2. Step 2: Convert to fraction form
    1,858.61/2,736.57 = 2,736.57/x
  3. Step 3: Cross multiply
    1,858.61x = 2,736.57 × 2,736.57
  4. Step 4: Simplify right side
    1,858.61x = 7,488,806.39
  5. Step 5: Solve for x
    x = 7,488,806.39/1,858.61
  6. Step 6: Final answer
    x = 4,029.26

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.