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Finding the Third Proportional to 12,124.69 and 17,787.94

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Solution

The third proportional to 12,124.69 and 17,787.94 is: 26,096.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124.69 : 17,787.94 = 17,787.94 : x
  2. Step 2: Convert to fraction form
    12,124.69/17,787.94 = 17,787.94/x
  3. Step 3: Cross multiply
    12,124.69x = 17,787.94 × 17,787.94
  4. Step 4: Simplify right side
    12,124.69x = 316,410,720.50
  5. Step 5: Solve for x
    x = 316,410,720.50/12,124.69
  6. Step 6: Final answer
    x = 26,096.40

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.