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Finding the Third Proportional to 45,744.19 and 70,399.69

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Solution

The third proportional to 45,744.19 and 70,399.69 is: 108,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,744.19 : 70,399.69 = 70,399.69 : x
  2. Step 2: Convert to fraction form
    45,744.19/70,399.69 = 70,399.69/x
  3. Step 3: Cross multiply
    45,744.19x = 70,399.69 × 70,399.69
  4. Step 4: Simplify right side
    45,744.19x = 4,956,116,000.10
  5. Step 5: Solve for x
    x = 4,956,116,000.10/45,744.19
  6. Step 6: Final answer
    x = 108,344.17

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.