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Finding the Third Proportional to 23,409 and 35,013

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Solution

The third proportional to 23,409 and 35,013 is: 52,369.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409 : 35,013 = 35,013 : x
  2. Step 2: Convert to fraction form
    23,409/35,013 = 35,013/x
  3. Step 3: Cross multiply
    23,409x = 35,013 × 35,013
  4. Step 4: Simplify right side
    23,409x = 1,225,910,169
  5. Step 5: Solve for x
    x = 1,225,910,169/23,409
  6. Step 6: Final answer
    x = 52,369.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.