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Finding the Third Proportional to 30,907 and 46,952

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Solution

The third proportional to 30,907 and 46,952 is: 71,326.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907 : 46,952 = 46,952 : x
  2. Step 2: Convert to fraction form
    30,907/46,952 = 46,952/x
  3. Step 3: Cross multiply
    30,907x = 46,952 × 46,952
  4. Step 4: Simplify right side
    30,907x = 2,204,490,304
  5. Step 5: Solve for x
    x = 2,204,490,304/30,907
  6. Step 6: Final answer
    x = 71,326.57

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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.