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Finding the Third Proportional to 35,615 and 77,413

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Solution

The third proportional to 35,615 and 77,413 is: 168,265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,615 : 77,413 = 77,413 : x
  2. Step 2: Convert to fraction form
    35,615/77,413 = 77,413/x
  3. Step 3: Cross multiply
    35,615x = 77,413 × 77,413
  4. Step 4: Simplify right side
    35,615x = 5,992,772,569
  5. Step 5: Solve for x
    x = 5,992,772,569/35,615
  6. Step 6: Final answer
    x = 168,265.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.