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Finding the Third Proportional to 5,301.75 and 6,273.75

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Solution

The third proportional to 5,301.75 and 6,273.75 is: 7,423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.75 : 6,273.75 = 6,273.75 : x
  2. Step 2: Convert to fraction form
    5,301.75/6,273.75 = 6,273.75/x
  3. Step 3: Cross multiply
    5,301.75x = 6,273.75 × 6,273.75
  4. Step 4: Simplify right side
    5,301.75x = 39,359,939.06
  5. Step 5: Solve for x
    x = 39,359,939.06/5,301.75
  6. Step 6: Final answer
    x = 7,423.95

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.