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Finding the Third Proportional to 37,191 and 53,235

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Solution

The third proportional to 37,191 and 53,235 is: 76,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,191 : 53,235 = 53,235 : x
  2. Step 2: Convert to fraction form
    37,191/53,235 = 53,235/x
  3. Step 3: Cross multiply
    37,191x = 53,235 × 53,235
  4. Step 4: Simplify right side
    37,191x = 2,833,965,225
  5. Step 5: Solve for x
    x = 2,833,965,225/37,191
  6. Step 6: Final answer
    x = 76,200.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.