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Finding the Third Proportional to 16,054 and 21,308

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Solution

The third proportional to 16,054 and 21,308 is: 28,281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,054 : 21,308 = 21,308 : x
  2. Step 2: Convert to fraction form
    16,054/21,308 = 21,308/x
  3. Step 3: Cross multiply
    16,054x = 21,308 × 21,308
  4. Step 4: Simplify right side
    16,054x = 454,030,864
  5. Step 5: Solve for x
    x = 454,030,864/16,054
  6. Step 6: Final answer
    x = 28,281.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.