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Finding the Third Proportional to 37,201.50 and 56,676

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Solution

The third proportional to 37,201.50 and 56,676 is: 86,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,201.50 : 56,676 = 56,676 : x
  2. Step 2: Convert to fraction form
    37,201.50/56,676 = 56,676/x
  3. Step 3: Cross multiply
    37,201.50x = 56,676 × 56,676
  4. Step 4: Simplify right side
    37,201.50x = 3,212,168,976
  5. Step 5: Solve for x
    x = 3,212,168,976/37,201.50
  6. Step 6: Final answer
    x = 86,345.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.