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Finding the Third Proportional to 37,999.13 and 55,323

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Solution

The third proportional to 37,999.13 and 55,323 is: 80,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,999.13 : 55,323 = 55,323 : x
  2. Step 2: Convert to fraction form
    37,999.13/55,323 = 55,323/x
  3. Step 3: Cross multiply
    37,999.13x = 55,323 × 55,323
  4. Step 4: Simplify right side
    37,999.13x = 3,060,634,329
  5. Step 5: Solve for x
    x = 3,060,634,329/37,999.13
  6. Step 6: Final answer
    x = 80,544.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.