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Finding the Third Proportional to 5,858.34 and 9,433.93

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Solution

The third proportional to 5,858.34 and 9,433.93 is: 15,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858.34 : 9,433.93 = 9,433.93 : x
  2. Step 2: Convert to fraction form
    5,858.34/9,433.93 = 9,433.93/x
  3. Step 3: Cross multiply
    5,858.34x = 9,433.93 × 9,433.93
  4. Step 4: Simplify right side
    5,858.34x = 88,999,020.14
  5. Step 5: Solve for x
    x = 88,999,020.14/5,858.34
  6. Step 6: Final answer
    x = 15,191.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.