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Finding the Third Proportional to 5,375.11 and 7,259.63

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Solution

The third proportional to 5,375.11 and 7,259.63 is: 9,804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375.11 : 7,259.63 = 7,259.63 : x
  2. Step 2: Convert to fraction form
    5,375.11/7,259.63 = 7,259.63/x
  3. Step 3: Cross multiply
    5,375.11x = 7,259.63 × 7,259.63
  4. Step 4: Simplify right side
    5,375.11x = 52,702,155.14
  5. Step 5: Solve for x
    x = 52,702,155.14/5,375.11
  6. Step 6: Final answer
    x = 9,804.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.