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Finding the Third Proportional to 46,212 and 69,646

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Solution

The third proportional to 46,212 and 69,646 is: 104,963.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,212 : 69,646 = 69,646 : x
  2. Step 2: Convert to fraction form
    46,212/69,646 = 69,646/x
  3. Step 3: Cross multiply
    46,212x = 69,646 × 69,646
  4. Step 4: Simplify right side
    46,212x = 4,850,565,316
  5. Step 5: Solve for x
    x = 4,850,565,316/46,212
  6. Step 6: Final answer
    x = 104,963.33

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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.