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Finding the Third Proportional to 23,295 and 50,475

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Solution

The third proportional to 23,295 and 50,475 is: 109,367.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,295 : 50,475 = 50,475 : x
  2. Step 2: Convert to fraction form
    23,295/50,475 = 50,475/x
  3. Step 3: Cross multiply
    23,295x = 50,475 × 50,475
  4. Step 4: Simplify right side
    23,295x = 2,547,725,625
  5. Step 5: Solve for x
    x = 2,547,725,625/23,295
  6. Step 6: Final answer
    x = 109,367.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.