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Finding the Third Proportional to 25,423.88 and 37,179

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Solution

The third proportional to 25,423.88 and 37,179 is: 54,369.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,423.88 : 37,179 = 37,179 : x
  2. Step 2: Convert to fraction form
    25,423.88/37,179 = 37,179/x
  3. Step 3: Cross multiply
    25,423.88x = 37,179 × 37,179
  4. Step 4: Simplify right side
    25,423.88x = 1,382,278,041
  5. Step 5: Solve for x
    x = 1,382,278,041/25,423.88
  6. Step 6: Final answer
    x = 54,369.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.