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Finding the Third Proportional to 15,801 and 25,023

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Solution

The third proportional to 15,801 and 25,023 is: 39,627.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,801 : 25,023 = 25,023 : x
  2. Step 2: Convert to fraction form
    15,801/25,023 = 25,023/x
  3. Step 3: Cross multiply
    15,801x = 25,023 × 25,023
  4. Step 4: Simplify right side
    15,801x = 626,150,529
  5. Step 5: Solve for x
    x = 626,150,529/15,801
  6. Step 6: Final answer
    x = 39,627.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.