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Finding the Third Proportional to 19,948 and 31,300

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Solution

The third proportional to 19,948 and 31,300 is: 49,112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,948 : 31,300 = 31,300 : x
  2. Step 2: Convert to fraction form
    19,948/31,300 = 31,300/x
  3. Step 3: Cross multiply
    19,948x = 31,300 × 31,300
  4. Step 4: Simplify right side
    19,948x = 979,690,000
  5. Step 5: Solve for x
    x = 979,690,000/19,948
  6. Step 6: Final answer
    x = 49,112.19

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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.