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Finding the Third Proportional to 35,624.63 and 76,226.81

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Solution

The third proportional to 35,624.63 and 76,226.81 is: 163,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,624.63 : 76,226.81 = 76,226.81 : x
  2. Step 2: Convert to fraction form
    35,624.63/76,226.81 = 76,226.81/x
  3. Step 3: Cross multiply
    35,624.63x = 76,226.81 × 76,226.81
  4. Step 4: Simplify right side
    35,624.63x = 5,810,526,943.91
  5. Step 5: Solve for x
    x = 5,810,526,943.91/35,624.63
  6. Step 6: Final answer
    x = 163,104.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.