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Finding the Third Proportional to 16,368 and 19,176

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Solution

The third proportional to 16,368 and 19,176 is: 22,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,368 : 19,176 = 19,176 : x
  2. Step 2: Convert to fraction form
    16,368/19,176 = 19,176/x
  3. Step 3: Cross multiply
    16,368x = 19,176 × 19,176
  4. Step 4: Simplify right side
    16,368x = 367,718,976
  5. Step 5: Solve for x
    x = 367,718,976/16,368
  6. Step 6: Final answer
    x = 22,465.72

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.