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Finding the Third Proportional to 9,703.13 and 13,660.31

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Solution

The third proportional to 9,703.13 and 13,660.31 is: 19,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.13 : 13,660.31 = 13,660.31 : x
  2. Step 2: Convert to fraction form
    9,703.13/13,660.31 = 13,660.31/x
  3. Step 3: Cross multiply
    9,703.13x = 13,660.31 × 13,660.31
  4. Step 4: Simplify right side
    9,703.13x = 186,604,137.60
  5. Step 5: Solve for x
    x = 186,604,137.60/9,703.13
  6. Step 6: Final answer
    x = 19,231.34

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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.