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Finding the Third Proportional to 4,173 and 5,834.25

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Solution

The third proportional to 4,173 and 5,834.25 is: 8,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,173 : 5,834.25 = 5,834.25 : x
  2. Step 2: Convert to fraction form
    4,173/5,834.25 = 5,834.25/x
  3. Step 3: Cross multiply
    4,173x = 5,834.25 × 5,834.25
  4. Step 4: Simplify right side
    4,173x = 34,038,473.06
  5. Step 5: Solve for x
    x = 34,038,473.06/4,173
  6. Step 6: Final answer
    x = 8,156.84

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.