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Finding the Third Proportional to 30,322.69 and 48,066.75

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Solution

The third proportional to 30,322.69 and 48,066.75 is: 76,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,322.69 : 48,066.75 = 48,066.75 : x
  2. Step 2: Convert to fraction form
    30,322.69/48,066.75 = 48,066.75/x
  3. Step 3: Cross multiply
    30,322.69x = 48,066.75 × 48,066.75
  4. Step 4: Simplify right side
    30,322.69x = 2,310,412,455.56
  5. Step 5: Solve for x
    x = 2,310,412,455.56/30,322.69
  6. Step 6: Final answer
    x = 76,194.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.