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Finding the Third Proportional to 19,473 and 30,874.50

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Solution

The third proportional to 19,473 and 30,874.50 is: 48,951.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,473 : 30,874.50 = 30,874.50 : x
  2. Step 2: Convert to fraction form
    19,473/30,874.50 = 30,874.50/x
  3. Step 3: Cross multiply
    19,473x = 30,874.50 × 30,874.50
  4. Step 4: Simplify right side
    19,473x = 953,234,750.25
  5. Step 5: Solve for x
    x = 953,234,750.25/19,473
  6. Step 6: Final answer
    x = 48,951.61

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.