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Finding the Third Proportional to 20,304 and 31,858.50

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Solution

The third proportional to 20,304 and 31,858.50 is: 49,988.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,304 : 31,858.50 = 31,858.50 : x
  2. Step 2: Convert to fraction form
    20,304/31,858.50 = 31,858.50/x
  3. Step 3: Cross multiply
    20,304x = 31,858.50 × 31,858.50
  4. Step 4: Simplify right side
    20,304x = 1,014,964,022.25
  5. Step 5: Solve for x
    x = 1,014,964,022.25/20,304
  6. Step 6: Final answer
    x = 49,988.38

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.