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Finding the Third Proportional to 46,032 and 94,656

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Solution

The third proportional to 46,032 and 94,656 is: 194,641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,032 : 94,656 = 94,656 : x
  2. Step 2: Convert to fraction form
    46,032/94,656 = 94,656/x
  3. Step 3: Cross multiply
    46,032x = 94,656 × 94,656
  4. Step 4: Simplify right side
    46,032x = 8,959,758,336
  5. Step 5: Solve for x
    x = 8,959,758,336/46,032
  6. Step 6: Final answer
    x = 194,641.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.