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Finding the Third Proportional to 12,200.63 and 19,576.69

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Solution

The third proportional to 12,200.63 and 19,576.69 is: 31,412.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.63 : 19,576.69 = 19,576.69 : x
  2. Step 2: Convert to fraction form
    12,200.63/19,576.69 = 19,576.69/x
  3. Step 3: Cross multiply
    12,200.63x = 19,576.69 × 19,576.69
  4. Step 4: Simplify right side
    12,200.63x = 383,246,693.47
  5. Step 5: Solve for x
    x = 383,246,693.47/12,200.63
  6. Step 6: Final answer
    x = 31,412.05

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.