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Finding the Third Proportional to 12,581 and 19,472

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Solution

The third proportional to 12,581 and 19,472 is: 30,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581 : 19,472 = 19,472 : x
  2. Step 2: Convert to fraction form
    12,581/19,472 = 19,472/x
  3. Step 3: Cross multiply
    12,581x = 19,472 × 19,472
  4. Step 4: Simplify right side
    12,581x = 379,158,784
  5. Step 5: Solve for x
    x = 379,158,784/12,581
  6. Step 6: Final answer
    x = 30,137.41

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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.