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Finding the Third Proportional to 45,874.69 and 67,041.84

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Solution

The third proportional to 45,874.69 and 67,041.84 is: 97,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,874.69 : 67,041.84 = 67,041.84 : x
  2. Step 2: Convert to fraction form
    45,874.69/67,041.84 = 67,041.84/x
  3. Step 3: Cross multiply
    45,874.69x = 67,041.84 × 67,041.84
  4. Step 4: Simplify right side
    45,874.69x = 4,494,608,813.40
  5. Step 5: Solve for x
    x = 4,494,608,813.40/45,874.69
  6. Step 6: Final answer
    x = 97,975.79

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