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Finding the Third Proportional to 37,021.50 and 52,762.88

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Solution

The third proportional to 37,021.50 and 52,762.88 is: 75,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,021.50 : 52,762.88 = 52,762.88 : x
  2. Step 2: Convert to fraction form
    37,021.50/52,762.88 = 52,762.88/x
  3. Step 3: Cross multiply
    37,021.50x = 52,762.88 × 52,762.88
  4. Step 4: Simplify right side
    37,021.50x = 2,783,920,978.27
  5. Step 5: Solve for x
    x = 2,783,920,978.27/37,021.50
  6. Step 6: Final answer
    x = 75,197.41

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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.