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Finding the Third Proportional to 12,100 and 14,854

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Solution

The third proportional to 12,100 and 14,854 is: 18,234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,100 : 14,854 = 14,854 : x
  2. Step 2: Convert to fraction form
    12,100/14,854 = 14,854/x
  3. Step 3: Cross multiply
    12,100x = 14,854 × 14,854
  4. Step 4: Simplify right side
    12,100x = 220,641,316
  5. Step 5: Solve for x
    x = 220,641,316/12,100
  6. Step 6: Final answer
    x = 18,234.82

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.