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Finding the Third Proportional to 31,074.75 and 74,094.75

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Solution

The third proportional to 31,074.75 and 74,094.75 is: 176,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,074.75 : 74,094.75 = 74,094.75 : x
  2. Step 2: Convert to fraction form
    31,074.75/74,094.75 = 74,094.75/x
  3. Step 3: Cross multiply
    31,074.75x = 74,094.75 × 74,094.75
  4. Step 4: Simplify right side
    31,074.75x = 5,490,031,977.56
  5. Step 5: Solve for x
    x = 5,490,031,977.56/31,074.75
  6. Step 6: Final answer
    x = 176,671.80

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.