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Finding the Third Proportional to 1,866.63 and 2,745.88

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Solution

The third proportional to 1,866.63 and 2,745.88 is: 4,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.63 : 2,745.88 = 2,745.88 : x
  2. Step 2: Convert to fraction form
    1,866.63/2,745.88 = 2,745.88/x
  3. Step 3: Cross multiply
    1,866.63x = 2,745.88 × 2,745.88
  4. Step 4: Simplify right side
    1,866.63x = 7,539,829.52
  5. Step 5: Solve for x
    x = 7,539,829.52/1,866.63
  6. Step 6: Final answer
    x = 4,039.28

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Why These Related Problems?

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