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Finding the Third Proportional to 15,795 and 25,434

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Solution

The third proportional to 15,795 and 25,434 is: 40,955.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,795 : 25,434 = 25,434 : x
  2. Step 2: Convert to fraction form
    15,795/25,434 = 25,434/x
  3. Step 3: Cross multiply
    15,795x = 25,434 × 25,434
  4. Step 4: Simplify right side
    15,795x = 646,888,356
  5. Step 5: Solve for x
    x = 646,888,356/15,795
  6. Step 6: Final answer
    x = 40,955.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.