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Finding the Third Proportional to 9,600.77 and 14,693.43

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Solution

The third proportional to 9,600.77 and 14,693.43 is: 22,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.77 : 14,693.43 = 14,693.43 : x
  2. Step 2: Convert to fraction form
    9,600.77/14,693.43 = 14,693.43/x
  3. Step 3: Cross multiply
    9,600.77x = 14,693.43 × 14,693.43
  4. Step 4: Simplify right side
    9,600.77x = 215,896,933.38
  5. Step 5: Solve for x
    x = 215,896,933.38/9,600.77
  6. Step 6: Final answer
    x = 22,487.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.