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Finding the Third Proportional to 16,470 and 18,846

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Solution

The third proportional to 16,470 and 18,846 is: 21,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470 : 18,846 = 18,846 : x
  2. Step 2: Convert to fraction form
    16,470/18,846 = 18,846/x
  3. Step 3: Cross multiply
    16,470x = 18,846 × 18,846
  4. Step 4: Simplify right side
    16,470x = 355,171,716
  5. Step 5: Solve for x
    x = 355,171,716/16,470
  6. Step 6: Final answer
    x = 21,564.77

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.