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Finding the Third Proportional to 9,536.25 and 14,753.63

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Solution

The third proportional to 9,536.25 and 14,753.63 is: 22,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.25 : 14,753.63 = 14,753.63 : x
  2. Step 2: Convert to fraction form
    9,536.25/14,753.63 = 14,753.63/x
  3. Step 3: Cross multiply
    9,536.25x = 14,753.63 × 14,753.63
  4. Step 4: Simplify right side
    9,536.25x = 217,669,450.64
  5. Step 5: Solve for x
    x = 217,669,450.64/9,536.25
  6. Step 6: Final answer
    x = 22,825.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.