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Finding the Third Proportional to 16,853.44 and 24,948.56

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Solution

The third proportional to 16,853.44 and 24,948.56 is: 36,931.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.44 : 24,948.56 = 24,948.56 : x
  2. Step 2: Convert to fraction form
    16,853.44/24,948.56 = 24,948.56/x
  3. Step 3: Cross multiply
    16,853.44x = 24,948.56 × 24,948.56
  4. Step 4: Simplify right side
    16,853.44x = 622,430,770.82
  5. Step 5: Solve for x
    x = 622,430,770.82/16,853.44
  6. Step 6: Final answer
    x = 36,931.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.