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Finding the Third Proportional to 12,576.75 and 13,746

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Solution

The third proportional to 12,576.75 and 13,746 is: 15,023.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.75 : 13,746 = 13,746 : x
  2. Step 2: Convert to fraction form
    12,576.75/13,746 = 13,746/x
  3. Step 3: Cross multiply
    12,576.75x = 13,746 × 13,746
  4. Step 4: Simplify right side
    12,576.75x = 188,952,516
  5. Step 5: Solve for x
    x = 188,952,516/12,576.75
  6. Step 6: Final answer
    x = 15,023.95

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.