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Finding the Third Proportional to 15,804 and 25,458

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Solution

The third proportional to 15,804 and 25,458 is: 41,009.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,804 : 25,458 = 25,458 : x
  2. Step 2: Convert to fraction form
    15,804/25,458 = 25,458/x
  3. Step 3: Cross multiply
    15,804x = 25,458 × 25,458
  4. Step 4: Simplify right side
    15,804x = 648,109,764
  5. Step 5: Solve for x
    x = 648,109,764/15,804
  6. Step 6: Final answer
    x = 41,009.22

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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.