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Finding the Third Proportional to 6,463.55 and 9,883.27

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Solution

The third proportional to 6,463.55 and 9,883.27 is: 15,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.55 : 9,883.27 = 9,883.27 : x
  2. Step 2: Convert to fraction form
    6,463.55/9,883.27 = 9,883.27/x
  3. Step 3: Cross multiply
    6,463.55x = 9,883.27 × 9,883.27
  4. Step 4: Simplify right side
    6,463.55x = 97,678,939.41
  5. Step 5: Solve for x
    x = 97,678,939.41/6,463.55
  6. Step 6: Final answer
    x = 15,112.28

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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.