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Finding the Third Proportional to 23,343 and 35,032

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Solution

The third proportional to 23,343 and 35,032 is: 52,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,343 : 35,032 = 35,032 : x
  2. Step 2: Convert to fraction form
    23,343/35,032 = 35,032/x
  3. Step 3: Cross multiply
    23,343x = 35,032 × 35,032
  4. Step 4: Simplify right side
    23,343x = 1,227,241,024
  5. Step 5: Solve for x
    x = 1,227,241,024/23,343
  6. Step 6: Final answer
    x = 52,574.26

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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.