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Finding the Third Proportional to 48,045.75 and 76,344.75

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Solution

The third proportional to 48,045.75 and 76,344.75 is: 121,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,045.75 : 76,344.75 = 76,344.75 : x
  2. Step 2: Convert to fraction form
    48,045.75/76,344.75 = 76,344.75/x
  3. Step 3: Cross multiply
    48,045.75x = 76,344.75 × 76,344.75
  4. Step 4: Simplify right side
    48,045.75x = 5,828,520,852.56
  5. Step 5: Solve for x
    x = 5,828,520,852.56/48,045.75
  6. Step 6: Final answer
    x = 121,311.89

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.