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Finding the Third Proportional to 30,758.63 and 48,187.69

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Solution

The third proportional to 30,758.63 and 48,187.69 is: 75,492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,758.63 : 48,187.69 = 48,187.69 : x
  2. Step 2: Convert to fraction form
    30,758.63/48,187.69 = 48,187.69/x
  3. Step 3: Cross multiply
    30,758.63x = 48,187.69 × 48,187.69
  4. Step 4: Simplify right side
    30,758.63x = 2,322,053,226.60
  5. Step 5: Solve for x
    x = 2,322,053,226.60/30,758.63
  6. Step 6: Final answer
    x = 75,492.75

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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.