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Finding the Third Proportional to 12,866.63 and 19,330.88

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Solution

The third proportional to 12,866.63 and 19,330.88 is: 29,042.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.63 : 19,330.88 = 19,330.88 : x
  2. Step 2: Convert to fraction form
    12,866.63/19,330.88 = 19,330.88/x
  3. Step 3: Cross multiply
    12,866.63x = 19,330.88 × 19,330.88
  4. Step 4: Simplify right side
    12,866.63x = 373,682,728.27
  5. Step 5: Solve for x
    x = 373,682,728.27/12,866.63
  6. Step 6: Final answer
    x = 29,042.79

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