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Finding the Third Proportional to 16,072 and 25,404

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Solution

The third proportional to 16,072 and 25,404 is: 40,154.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,072 : 25,404 = 25,404 : x
  2. Step 2: Convert to fraction form
    16,072/25,404 = 25,404/x
  3. Step 3: Cross multiply
    16,072x = 25,404 × 25,404
  4. Step 4: Simplify right side
    16,072x = 645,363,216
  5. Step 5: Solve for x
    x = 645,363,216/16,072
  6. Step 6: Final answer
    x = 40,154.51

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.