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Finding the Third Proportional to 17,421.19 and 25,721.44

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Solution

The third proportional to 17,421.19 and 25,721.44 is: 37,976.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,421.19 : 25,721.44 = 25,721.44 : x
  2. Step 2: Convert to fraction form
    17,421.19/25,721.44 = 25,721.44/x
  3. Step 3: Cross multiply
    17,421.19x = 25,721.44 × 25,721.44
  4. Step 4: Simplify right side
    17,421.19x = 661,592,347.07
  5. Step 5: Solve for x
    x = 661,592,347.07/17,421.19
  6. Step 6: Final answer
    x = 37,976.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.