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Finding the Third Proportional to 12,829.22 and 19,192.22

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Solution

The third proportional to 12,829.22 and 19,192.22 is: 28,711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.22 : 19,192.22 = 19,192.22 : x
  2. Step 2: Convert to fraction form
    12,829.22/19,192.22 = 19,192.22/x
  3. Step 3: Cross multiply
    12,829.22x = 19,192.22 × 19,192.22
  4. Step 4: Simplify right side
    12,829.22x = 368,341,260.55
  5. Step 5: Solve for x
    x = 368,341,260.55/12,829.22
  6. Step 6: Final answer
    x = 28,711.12

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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.