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Finding the Third Proportional to 6,302.25 and 15,279.75

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Solution

The third proportional to 6,302.25 and 15,279.75 is: 37,045.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.25 : 15,279.75 = 15,279.75 : x
  2. Step 2: Convert to fraction form
    6,302.25/15,279.75 = 15,279.75/x
  3. Step 3: Cross multiply
    6,302.25x = 15,279.75 × 15,279.75
  4. Step 4: Simplify right side
    6,302.25x = 233,470,760.06
  5. Step 5: Solve for x
    x = 233,470,760.06/6,302.25
  6. Step 6: Final answer
    x = 37,045.62

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.