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Finding the Third Proportional to 16,164.56 and 24,894.84

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Solution

The third proportional to 16,164.56 and 24,894.84 is: 38,340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.56 : 24,894.84 = 24,894.84 : x
  2. Step 2: Convert to fraction form
    16,164.56/24,894.84 = 24,894.84/x
  3. Step 3: Cross multiply
    16,164.56x = 24,894.84 × 24,894.84
  4. Step 4: Simplify right side
    16,164.56x = 619,753,245.34
  5. Step 5: Solve for x
    x = 619,753,245.34/16,164.56
  6. Step 6: Final answer
    x = 38,340.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.