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Finding the Third Proportional to 13,294.13 and 17,308.69

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Solution

The third proportional to 13,294.13 and 17,308.69 is: 22,535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.13 : 17,308.69 = 17,308.69 : x
  2. Step 2: Convert to fraction form
    13,294.13/17,308.69 = 17,308.69/x
  3. Step 3: Cross multiply
    13,294.13x = 17,308.69 × 17,308.69
  4. Step 4: Simplify right side
    13,294.13x = 299,590,662.97
  5. Step 5: Solve for x
    x = 299,590,662.97/13,294.13
  6. Step 6: Final answer
    x = 22,535.57

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.