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Finding the Third Proportional to 46,040 and 94,672

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Solution

The third proportional to 46,040 and 94,672 is: 194,673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,040 : 94,672 = 94,672 : x
  2. Step 2: Convert to fraction form
    46,040/94,672 = 94,672/x
  3. Step 3: Cross multiply
    46,040x = 94,672 × 94,672
  4. Step 4: Simplify right side
    46,040x = 8,962,787,584
  5. Step 5: Solve for x
    x = 8,962,787,584/46,040
  6. Step 6: Final answer
    x = 194,673.93

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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.