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Finding the Third Proportional to 23,024 and 35,202

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Solution

The third proportional to 23,024 and 35,202 is: 53,821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,024 : 35,202 = 35,202 : x
  2. Step 2: Convert to fraction form
    23,024/35,202 = 35,202/x
  3. Step 3: Cross multiply
    23,024x = 35,202 × 35,202
  4. Step 4: Simplify right side
    23,024x = 1,239,180,804
  5. Step 5: Solve for x
    x = 1,239,180,804/23,024
  6. Step 6: Final answer
    x = 53,821.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.