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Finding the Third Proportional to 12,830.25 and 19,193.63

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Solution

The third proportional to 12,830.25 and 19,193.63 is: 28,713.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.25 : 19,193.63 = 19,193.63 : x
  2. Step 2: Convert to fraction form
    12,830.25/19,193.63 = 19,193.63/x
  3. Step 3: Cross multiply
    12,830.25x = 19,193.63 × 19,193.63
  4. Step 4: Simplify right side
    12,830.25x = 368,395,240.64
  5. Step 5: Solve for x
    x = 368,395,240.64/12,830.25
  6. Step 6: Final answer
    x = 28,713.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.