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Finding the Third Proportional to 17,302.69 and 24,742.69

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Solution

The third proportional to 17,302.69 and 24,742.69 is: 35,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,302.69 : 24,742.69 = 24,742.69 : x
  2. Step 2: Convert to fraction form
    17,302.69/24,742.69 = 24,742.69/x
  3. Step 3: Cross multiply
    17,302.69x = 24,742.69 × 24,742.69
  4. Step 4: Simplify right side
    17,302.69x = 612,200,584.72
  5. Step 5: Solve for x
    x = 612,200,584.72/17,302.69
  6. Step 6: Final answer
    x = 35,381.82

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.