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Finding the Third Proportional to 30,696 and 46,644

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Solution

The third proportional to 30,696 and 46,644 is: 70,877.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,696 : 46,644 = 46,644 : x
  2. Step 2: Convert to fraction form
    30,696/46,644 = 46,644/x
  3. Step 3: Cross multiply
    30,696x = 46,644 × 46,644
  4. Step 4: Simplify right side
    30,696x = 2,175,662,736
  5. Step 5: Solve for x
    x = 2,175,662,736/30,696
  6. Step 6: Final answer
    x = 70,877.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.