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Finding the Third Proportional to 7,615 and 15,439

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Solution

The third proportional to 7,615 and 15,439 is: 31,301.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615 : 15,439 = 15,439 : x
  2. Step 2: Convert to fraction form
    7,615/15,439 = 15,439/x
  3. Step 3: Cross multiply
    7,615x = 15,439 × 15,439
  4. Step 4: Simplify right side
    7,615x = 238,362,721
  5. Step 5: Solve for x
    x = 238,362,721/7,615
  6. Step 6: Final answer
    x = 31,301.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.