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Finding the Third Proportional to 6,280.50 and 17,085

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Solution

The third proportional to 6,280.50 and 17,085 is: 46,476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.50 : 17,085 = 17,085 : x
  2. Step 2: Convert to fraction form
    6,280.50/17,085 = 17,085/x
  3. Step 3: Cross multiply
    6,280.50x = 17,085 × 17,085
  4. Step 4: Simplify right side
    6,280.50x = 291,897,225
  5. Step 5: Solve for x
    x = 291,897,225/6,280.50
  6. Step 6: Final answer
    x = 46,476.75

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.