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Finding the Third Proportional to 14,777.44 and 23,396.34

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Solution

The third proportional to 14,777.44 and 23,396.34 is: 37,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,777.44 : 23,396.34 = 23,396.34 : x
  2. Step 2: Convert to fraction form
    14,777.44/23,396.34 = 23,396.34/x
  3. Step 3: Cross multiply
    14,777.44x = 23,396.34 × 23,396.34
  4. Step 4: Simplify right side
    14,777.44x = 547,388,900.87
  5. Step 5: Solve for x
    x = 547,388,900.87/14,777.44
  6. Step 6: Final answer
    x = 37,042.21

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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.