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Finding the Third Proportional to 2,407.50 and 6,082.50

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Solution

The third proportional to 2,407.50 and 6,082.50 is: 15,367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.50 : 6,082.50 = 6,082.50 : x
  2. Step 2: Convert to fraction form
    2,407.50/6,082.50 = 6,082.50/x
  3. Step 3: Cross multiply
    2,407.50x = 6,082.50 × 6,082.50
  4. Step 4: Simplify right side
    2,407.50x = 36,996,806.25
  5. Step 5: Solve for x
    x = 36,996,806.25/2,407.50
  6. Step 6: Final answer
    x = 15,367.31

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.