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Finding the Third Proportional to 16,038 and 21,853.13

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Solution

The third proportional to 16,038 and 21,853.13 is: 29,776.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038 : 21,853.13 = 21,853.13 : x
  2. Step 2: Convert to fraction form
    16,038/21,853.13 = 21,853.13/x
  3. Step 3: Cross multiply
    16,038x = 21,853.13 × 21,853.13
  4. Step 4: Simplify right side
    16,038x = 477,559,072.27
  5. Step 5: Solve for x
    x = 477,559,072.27/16,038
  6. Step 6: Final answer
    x = 29,776.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.