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Finding the Third Proportional to 31,563 and 69,390

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Solution

The third proportional to 31,563 and 69,390 is: 152,551.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,563 : 69,390 = 69,390 : x
  2. Step 2: Convert to fraction form
    31,563/69,390 = 69,390/x
  3. Step 3: Cross multiply
    31,563x = 69,390 × 69,390
  4. Step 4: Simplify right side
    31,563x = 4,814,972,100
  5. Step 5: Solve for x
    x = 4,814,972,100/31,563
  6. Step 6: Final answer
    x = 152,551.15

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.