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Finding the Third Proportional to 14,027.63 and 23,376.94

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Solution

The third proportional to 14,027.63 and 23,376.94 is: 38,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,027.63 : 23,376.94 = 23,376.94 : x
  2. Step 2: Convert to fraction form
    14,027.63/23,376.94 = 23,376.94/x
  3. Step 3: Cross multiply
    14,027.63x = 23,376.94 × 23,376.94
  4. Step 4: Simplify right side
    14,027.63x = 546,481,206.88
  5. Step 5: Solve for x
    x = 546,481,206.88/14,027.63
  6. Step 6: Final answer
    x = 38,957.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.