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Finding the Third Proportional to 30,763.13 and 48,195.84

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Solution

The third proportional to 30,763.13 and 48,195.84 is: 75,507.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,763.13 : 48,195.84 = 48,195.84 : x
  2. Step 2: Convert to fraction form
    30,763.13/48,195.84 = 48,195.84/x
  3. Step 3: Cross multiply
    30,763.13x = 48,195.84 × 48,195.84
  4. Step 4: Simplify right side
    30,763.13x = 2,322,839,354.77
  5. Step 5: Solve for x
    x = 2,322,839,354.77/30,763.13
  6. Step 6: Final answer
    x = 75,507.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.