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Finding the Third Proportional to 46,237 and 69,620

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Solution

The third proportional to 46,237 and 69,620 is: 104,828.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,237 : 69,620 = 69,620 : x
  2. Step 2: Convert to fraction form
    46,237/69,620 = 69,620/x
  3. Step 3: Cross multiply
    46,237x = 69,620 × 69,620
  4. Step 4: Simplify right side
    46,237x = 4,846,944,400
  5. Step 5: Solve for x
    x = 4,846,944,400/46,237
  6. Step 6: Final answer
    x = 104,828.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.