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Finding the Third Proportional to 19,948.50 and 30,868.50

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Solution

The third proportional to 19,948.50 and 30,868.50 is: 47,766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,948.50 : 30,868.50 = 30,868.50 : x
  2. Step 2: Convert to fraction form
    19,948.50/30,868.50 = 30,868.50/x
  3. Step 3: Cross multiply
    19,948.50x = 30,868.50 × 30,868.50
  4. Step 4: Simplify right side
    19,948.50x = 952,864,292.25
  5. Step 5: Solve for x
    x = 952,864,292.25/19,948.50
  6. Step 6: Final answer
    x = 47,766.21

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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.