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Finding the Third Proportional to 31,319 and 46,969

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Solution

The third proportional to 31,319 and 46,969 is: 70,439.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,319 : 46,969 = 46,969 : x
  2. Step 2: Convert to fraction form
    31,319/46,969 = 46,969/x
  3. Step 3: Cross multiply
    31,319x = 46,969 × 46,969
  4. Step 4: Simplify right side
    31,319x = 2,206,086,961
  5. Step 5: Solve for x
    x = 2,206,086,961/31,319
  6. Step 6: Final answer
    x = 70,439.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.