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Finding the Third Proportional to 32,421.94 and 70,994.81

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Solution

The third proportional to 32,421.94 and 70,994.81 is: 155,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,421.94 : 70,994.81 = 70,994.81 : x
  2. Step 2: Convert to fraction form
    32,421.94/70,994.81 = 70,994.81/x
  3. Step 3: Cross multiply
    32,421.94x = 70,994.81 × 70,994.81
  4. Step 4: Simplify right side
    32,421.94x = 5,040,263,401.91
  5. Step 5: Solve for x
    x = 5,040,263,401.91/32,421.94
  6. Step 6: Final answer
    x = 155,458.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.