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Finding the Third Proportional to 16,378 and 25,973

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Solution

The third proportional to 16,378 and 25,973 is: 41,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378 : 25,973 = 25,973 : x
  2. Step 2: Convert to fraction form
    16,378/25,973 = 25,973/x
  3. Step 3: Cross multiply
    16,378x = 25,973 × 25,973
  4. Step 4: Simplify right side
    16,378x = 674,596,729
  5. Step 5: Solve for x
    x = 674,596,729/16,378
  6. Step 6: Final answer
    x = 41,189.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.