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Finding the Third Proportional to 30,348.84 and 66,131.44

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Solution

The third proportional to 30,348.84 and 66,131.44 is: 144,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,348.84 : 66,131.44 = 66,131.44 : x
  2. Step 2: Convert to fraction form
    30,348.84/66,131.44 = 66,131.44/x
  3. Step 3: Cross multiply
    30,348.84x = 66,131.44 × 66,131.44
  4. Step 4: Simplify right side
    30,348.84x = 4,373,367,025.82
  5. Step 5: Solve for x
    x = 4,373,367,025.82/30,348.84
  6. Step 6: Final answer
    x = 144,103.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.