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Finding the Third Proportional to 14,766 and 23,379

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Solution

The third proportional to 14,766 and 23,379 is: 37,015.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,766 : 23,379 = 23,379 : x
  2. Step 2: Convert to fraction form
    14,766/23,379 = 23,379/x
  3. Step 3: Cross multiply
    14,766x = 23,379 × 23,379
  4. Step 4: Simplify right side
    14,766x = 546,577,641
  5. Step 5: Solve for x
    x = 546,577,641/14,766
  6. Step 6: Final answer
    x = 37,015.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.