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Finding the Third Proportional to 37,235 and 75,550

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Solution

The third proportional to 37,235 and 75,550 is: 153,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,235 : 75,550 = 75,550 : x
  2. Step 2: Convert to fraction form
    37,235/75,550 = 75,550/x
  3. Step 3: Cross multiply
    37,235x = 75,550 × 75,550
  4. Step 4: Simplify right side
    37,235x = 5,707,802,500
  5. Step 5: Solve for x
    x = 5,707,802,500/37,235
  6. Step 6: Final answer
    x = 153,291.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.