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Finding the Third Proportional to 23,175 and 37,311.75

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Solution

The third proportional to 23,175 and 37,311.75 is: 60,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,175 : 37,311.75 = 37,311.75 : x
  2. Step 2: Convert to fraction form
    23,175/37,311.75 = 37,311.75/x
  3. Step 3: Cross multiply
    23,175x = 37,311.75 × 37,311.75
  4. Step 4: Simplify right side
    23,175x = 1,392,166,688.06
  5. Step 5: Solve for x
    x = 1,392,166,688.06/23,175
  6. Step 6: Final answer
    x = 60,071.92

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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.