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Finding the Third Proportional to 16,176 and 25,038

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Solution

The third proportional to 16,176 and 25,038 is: 38,755.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176 : 25,038 = 25,038 : x
  2. Step 2: Convert to fraction form
    16,176/25,038 = 25,038/x
  3. Step 3: Cross multiply
    16,176x = 25,038 × 25,038
  4. Step 4: Simplify right side
    16,176x = 626,901,444
  5. Step 5: Solve for x
    x = 626,901,444/16,176
  6. Step 6: Final answer
    x = 38,755.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.