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Finding the Third Proportional to 1,765.55 and 4,267.69

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Solution

The third proportional to 1,765.55 and 4,267.69 is: 10,315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.55 : 4,267.69 = 4,267.69 : x
  2. Step 2: Convert to fraction form
    1,765.55/4,267.69 = 4,267.69/x
  3. Step 3: Cross multiply
    1,765.55x = 4,267.69 × 4,267.69
  4. Step 4: Simplify right side
    1,765.55x = 18,213,156.60
  5. Step 5: Solve for x
    x = 18,213,156.60/1,765.55
  6. Step 6: Final answer
    x = 10,315.87

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.