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Finding the Third Proportional to 15,293 and 23,426

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Solution

The third proportional to 15,293 and 23,426 is: 35,884.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,293 : 23,426 = 23,426 : x
  2. Step 2: Convert to fraction form
    15,293/23,426 = 23,426/x
  3. Step 3: Cross multiply
    15,293x = 23,426 × 23,426
  4. Step 4: Simplify right side
    15,293x = 548,777,476
  5. Step 5: Solve for x
    x = 548,777,476/15,293
  6. Step 6: Final answer
    x = 35,884.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.