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Finding the Third Proportional to 17,353.13 and 23,515.13

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Solution

The third proportional to 17,353.13 and 23,515.13 is: 31,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,353.13 : 23,515.13 = 23,515.13 : x
  2. Step 2: Convert to fraction form
    17,353.13/23,515.13 = 23,515.13/x
  3. Step 3: Cross multiply
    17,353.13x = 23,515.13 × 23,515.13
  4. Step 4: Simplify right side
    17,353.13x = 552,961,103.77
  5. Step 5: Solve for x
    x = 552,961,103.77/17,353.13
  6. Step 6: Final answer
    x = 31,865.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.