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Finding the Third Proportional to 23,509 and 55,475

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Solution

The third proportional to 23,509 and 55,475 is: 130,906.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,509 : 55,475 = 55,475 : x
  2. Step 2: Convert to fraction form
    23,509/55,475 = 55,475/x
  3. Step 3: Cross multiply
    23,509x = 55,475 × 55,475
  4. Step 4: Simplify right side
    23,509x = 3,077,475,625
  5. Step 5: Solve for x
    x = 3,077,475,625/23,509
  6. Step 6: Final answer
    x = 130,906.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.