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Finding the Third Proportional to 30,769.88 and 44,000.72

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Solution

The third proportional to 30,769.88 and 44,000.72 is: 62,920.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.88 : 44,000.72 = 44,000.72 : x
  2. Step 2: Convert to fraction form
    30,769.88/44,000.72 = 44,000.72/x
  3. Step 3: Cross multiply
    30,769.88x = 44,000.72 × 44,000.72
  4. Step 4: Simplify right side
    30,769.88x = 1,936,063,250.52
  5. Step 5: Solve for x
    x = 1,936,063,250.52/30,769.88
  6. Step 6: Final answer
    x = 62,920.74

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.