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Finding the Third Proportional to 35,624.18 and 76,510.83

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Solution

The third proportional to 35,624.18 and 76,510.83 is: 164,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,624.18 : 76,510.83 = 76,510.83 : x
  2. Step 2: Convert to fraction form
    35,624.18/76,510.83 = 76,510.83/x
  3. Step 3: Cross multiply
    35,624.18x = 76,510.83 × 76,510.83
  4. Step 4: Simplify right side
    35,624.18x = 5,853,906,820.37
  5. Step 5: Solve for x
    x = 5,853,906,820.37/35,624.18
  6. Step 6: Final answer
    x = 164,323.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.