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Finding the Third Proportional to 14,012.60 and 23,354.34

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Solution

The third proportional to 14,012.60 and 23,354.34 is: 38,923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012.60 : 23,354.34 = 23,354.34 : x
  2. Step 2: Convert to fraction form
    14,012.60/23,354.34 = 23,354.34/x
  3. Step 3: Cross multiply
    14,012.60x = 23,354.34 × 23,354.34
  4. Step 4: Simplify right side
    14,012.60x = 545,425,235.15
  5. Step 5: Solve for x
    x = 545,425,235.15/14,012.60
  6. Step 6: Final answer
    x = 38,923.90

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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.