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Finding the Third Proportional to 23,174 and 37,312

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Solution

The third proportional to 23,174 and 37,312 is: 60,075.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174 : 37,312 = 37,312 : x
  2. Step 2: Convert to fraction form
    23,174/37,312 = 37,312/x
  3. Step 3: Cross multiply
    23,174x = 37,312 × 37,312
  4. Step 4: Simplify right side
    23,174x = 1,392,185,344
  5. Step 5: Solve for x
    x = 1,392,185,344/23,174
  6. Step 6: Final answer
    x = 60,075.31

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.