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Finding the Third Proportional to 13,992.75 and 20,714.63

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Solution

The third proportional to 13,992.75 and 20,714.63 is: 30,665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.75 : 20,714.63 = 20,714.63 : x
  2. Step 2: Convert to fraction form
    13,992.75/20,714.63 = 20,714.63/x
  3. Step 3: Cross multiply
    13,992.75x = 20,714.63 × 20,714.63
  4. Step 4: Simplify right side
    13,992.75x = 429,095,688.89
  5. Step 5: Solve for x
    x = 429,095,688.89/13,992.75
  6. Step 6: Final answer
    x = 30,665.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.