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Finding the Third Proportional to 46,478 and 69,823

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Solution

The third proportional to 46,478 and 69,823 is: 104,893.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,478 : 69,823 = 69,823 : x
  2. Step 2: Convert to fraction form
    46,478/69,823 = 69,823/x
  3. Step 3: Cross multiply
    46,478x = 69,823 × 69,823
  4. Step 4: Simplify right side
    46,478x = 4,875,251,329
  5. Step 5: Solve for x
    x = 4,875,251,329/46,478
  6. Step 6: Final answer
    x = 104,893.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.