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Finding the Third Proportional to 34,782 and 46,596

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Solution

The third proportional to 34,782 and 46,596 is: 62,422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,782 : 46,596 = 46,596 : x
  2. Step 2: Convert to fraction form
    34,782/46,596 = 46,596/x
  3. Step 3: Cross multiply
    34,782x = 46,596 × 46,596
  4. Step 4: Simplify right side
    34,782x = 2,171,187,216
  5. Step 5: Solve for x
    x = 2,171,187,216/34,782
  6. Step 6: Final answer
    x = 62,422.72

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.