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Finding the Third Proportional to 51,820.88 and 76,029.75

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Solution

The third proportional to 51,820.88 and 76,029.75 is: 111,548.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,820.88 : 76,029.75 = 76,029.75 : x
  2. Step 2: Convert to fraction form
    51,820.88/76,029.75 = 76,029.75/x
  3. Step 3: Cross multiply
    51,820.88x = 76,029.75 × 76,029.75
  4. Step 4: Simplify right side
    51,820.88x = 5,780,522,885.06
  5. Step 5: Solve for x
    x = 5,780,522,885.06/51,820.88
  6. Step 6: Final answer
    x = 111,548.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.