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Finding the Third Proportional to 39,615 and 61,853

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Solution

The third proportional to 39,615 and 61,853 is: 96,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,615 : 61,853 = 61,853 : x
  2. Step 2: Convert to fraction form
    39,615/61,853 = 61,853/x
  3. Step 3: Cross multiply
    39,615x = 61,853 × 61,853
  4. Step 4: Simplify right side
    39,615x = 3,825,793,609
  5. Step 5: Solve for x
    x = 3,825,793,609/39,615
  6. Step 6: Final answer
    x = 96,574.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.