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Finding the Third Proportional to 16,898.63 and 22,416.75

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Solution

The third proportional to 16,898.63 and 22,416.75 is: 29,736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,898.63 : 22,416.75 = 22,416.75 : x
  2. Step 2: Convert to fraction form
    16,898.63/22,416.75 = 22,416.75/x
  3. Step 3: Cross multiply
    16,898.63x = 22,416.75 × 22,416.75
  4. Step 4: Simplify right side
    16,898.63x = 502,510,680.56
  5. Step 5: Solve for x
    x = 502,510,680.56/16,898.63
  6. Step 6: Final answer
    x = 29,736.78

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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.