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Finding the Third Proportional to 18,468 and 25,914

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Solution

The third proportional to 18,468 and 25,914 is: 36,362.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,468 : 25,914 = 25,914 : x
  2. Step 2: Convert to fraction form
    18,468/25,914 = 25,914/x
  3. Step 3: Cross multiply
    18,468x = 25,914 × 25,914
  4. Step 4: Simplify right side
    18,468x = 671,535,396
  5. Step 5: Solve for x
    x = 671,535,396/18,468
  6. Step 6: Final answer
    x = 36,362.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.