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Finding the Third Proportional to 35,744.44 and 70,591.69

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Solution

The third proportional to 35,744.44 and 70,591.69 is: 139,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,744.44 : 70,591.69 = 70,591.69 : x
  2. Step 2: Convert to fraction form
    35,744.44/70,591.69 = 70,591.69/x
  3. Step 3: Cross multiply
    35,744.44x = 70,591.69 × 70,591.69
  4. Step 4: Simplify right side
    35,744.44x = 4,983,186,344.10
  5. Step 5: Solve for x
    x = 4,983,186,344.10/35,744.44
  6. Step 6: Final answer
    x = 139,411.52

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.