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Finding the Third Proportional to 5,985 and 10,800

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Solution

The third proportional to 5,985 and 10,800 is: 19,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985 : 10,800 = 10,800 : x
  2. Step 2: Convert to fraction form
    5,985/10,800 = 10,800/x
  3. Step 3: Cross multiply
    5,985x = 10,800 × 10,800
  4. Step 4: Simplify right side
    5,985x = 116,640,000
  5. Step 5: Solve for x
    x = 116,640,000/5,985
  6. Step 6: Final answer
    x = 19,488.72

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.