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Finding the Third Proportional to 30,718 and 46,968

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Solution

The third proportional to 30,718 and 46,968 is: 71,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,718 : 46,968 = 46,968 : x
  2. Step 2: Convert to fraction form
    30,718/46,968 = 46,968/x
  3. Step 3: Cross multiply
    30,718x = 46,968 × 46,968
  4. Step 4: Simplify right side
    30,718x = 2,205,993,024
  5. Step 5: Solve for x
    x = 2,205,993,024/30,718
  6. Step 6: Final answer
    x = 71,814.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.