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Finding the Third Proportional to 19,968 and 31,043.25

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Solution

The third proportional to 19,968 and 31,043.25 is: 48,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,968 : 31,043.25 = 31,043.25 : x
  2. Step 2: Convert to fraction form
    19,968/31,043.25 = 31,043.25/x
  3. Step 3: Cross multiply
    19,968x = 31,043.25 × 31,043.25
  4. Step 4: Simplify right side
    19,968x = 963,683,370.56
  5. Step 5: Solve for x
    x = 963,683,370.56/19,968
  6. Step 6: Final answer
    x = 48,261.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.