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Finding the Third Proportional to 6,935.48 and 9,813.56

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Solution

The third proportional to 6,935.48 and 9,813.56 is: 13,885.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.48 : 9,813.56 = 9,813.56 : x
  2. Step 2: Convert to fraction form
    6,935.48/9,813.56 = 9,813.56/x
  3. Step 3: Cross multiply
    6,935.48x = 9,813.56 × 9,813.56
  4. Step 4: Simplify right side
    6,935.48x = 96,306,008.94
  5. Step 5: Solve for x
    x = 96,306,008.94/6,935.48
  6. Step 6: Final answer
    x = 13,885.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.