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Finding the Third Proportional to 5,748.19 and 9,023.06

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Solution

The third proportional to 5,748.19 and 9,023.06 is: 14,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.19 : 9,023.06 = 9,023.06 : x
  2. Step 2: Convert to fraction form
    5,748.19/9,023.06 = 9,023.06/x
  3. Step 3: Cross multiply
    5,748.19x = 9,023.06 × 9,023.06
  4. Step 4: Simplify right side
    5,748.19x = 81,415,656.88
  5. Step 5: Solve for x
    x = 81,415,656.88/5,748.19
  6. Step 6: Final answer
    x = 14,163.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.