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Finding the Third Proportional to 23,417 and 35,607

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Solution

The third proportional to 23,417 and 35,607 is: 54,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,417 : 35,607 = 35,607 : x
  2. Step 2: Convert to fraction form
    23,417/35,607 = 35,607/x
  3. Step 3: Cross multiply
    23,417x = 35,607 × 35,607
  4. Step 4: Simplify right side
    23,417x = 1,267,858,449
  5. Step 5: Solve for x
    x = 1,267,858,449/23,417
  6. Step 6: Final answer
    x = 54,142.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.