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Finding the Third Proportional to 19,262 and 30,564

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Solution

The third proportional to 19,262 and 30,564 is: 48,497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,262 : 30,564 = 30,564 : x
  2. Step 2: Convert to fraction form
    19,262/30,564 = 30,564/x
  3. Step 3: Cross multiply
    19,262x = 30,564 × 30,564
  4. Step 4: Simplify right side
    19,262x = 934,158,096
  5. Step 5: Solve for x
    x = 934,158,096/19,262
  6. Step 6: Final answer
    x = 48,497.46

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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.