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Finding the Third Proportional to 30,382.59 and 45,993.68

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Solution

The third proportional to 30,382.59 and 45,993.68 is: 69,626.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382.59 : 45,993.68 = 45,993.68 : x
  2. Step 2: Convert to fraction form
    30,382.59/45,993.68 = 45,993.68/x
  3. Step 3: Cross multiply
    30,382.59x = 45,993.68 × 45,993.68
  4. Step 4: Simplify right side
    30,382.59x = 2,115,418,840.69
  5. Step 5: Solve for x
    x = 2,115,418,840.69/30,382.59
  6. Step 6: Final answer
    x = 69,626.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.