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Finding the Third Proportional to 9,308.25 and 12,349.13

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Solution

The third proportional to 9,308.25 and 12,349.13 is: 16,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.25 : 12,349.13 = 12,349.13 : x
  2. Step 2: Convert to fraction form
    9,308.25/12,349.13 = 12,349.13/x
  3. Step 3: Cross multiply
    9,308.25x = 12,349.13 × 12,349.13
  4. Step 4: Simplify right side
    9,308.25x = 152,500,888.27
  5. Step 5: Solve for x
    x = 152,500,888.27/9,308.25
  6. Step 6: Final answer
    x = 16,383.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.