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Finding the Third Proportional to 7,745.63 and 10,403.44

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Solution

The third proportional to 7,745.63 and 10,403.44 is: 13,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.63 : 10,403.44 = 10,403.44 : x
  2. Step 2: Convert to fraction form
    7,745.63/10,403.44 = 10,403.44/x
  3. Step 3: Cross multiply
    7,745.63x = 10,403.44 × 10,403.44
  4. Step 4: Simplify right side
    7,745.63x = 108,231,511.82
  5. Step 5: Solve for x
    x = 108,231,511.82/7,745.63
  6. Step 6: Final answer
    x = 13,973.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.