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Finding the Third Proportional to 23,172 and 35,001

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Solution

The third proportional to 23,172 and 35,001 is: 52,868.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,172 : 35,001 = 35,001 : x
  2. Step 2: Convert to fraction form
    23,172/35,001 = 35,001/x
  3. Step 3: Cross multiply
    23,172x = 35,001 × 35,001
  4. Step 4: Simplify right side
    23,172x = 1,225,070,001
  5. Step 5: Solve for x
    x = 1,225,070,001/23,172
  6. Step 6: Final answer
    x = 52,868.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.