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Finding the Third Proportional to 15,665.63 and 22,634.44

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Solution

The third proportional to 15,665.63 and 22,634.44 is: 32,703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.63 : 22,634.44 = 22,634.44 : x
  2. Step 2: Convert to fraction form
    15,665.63/22,634.44 = 22,634.44/x
  3. Step 3: Cross multiply
    15,665.63x = 22,634.44 × 22,634.44
  4. Step 4: Simplify right side
    15,665.63x = 512,317,760.94
  5. Step 5: Solve for x
    x = 512,317,760.94/15,665.63
  6. Step 6: Final answer
    x = 32,703.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.