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Finding the Third Proportional to 12,762 and 19,156

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Solution

The third proportional to 12,762 and 19,156 is: 28,753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762 : 19,156 = 19,156 : x
  2. Step 2: Convert to fraction form
    12,762/19,156 = 19,156/x
  3. Step 3: Cross multiply
    12,762x = 19,156 × 19,156
  4. Step 4: Simplify right side
    12,762x = 366,952,336
  5. Step 5: Solve for x
    x = 366,952,336/12,762
  6. Step 6: Final answer
    x = 28,753.51

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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.