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Finding the Third Proportional to 14,008 and 21,378

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Solution

The third proportional to 14,008 and 21,378 is: 32,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008 : 21,378 = 21,378 : x
  2. Step 2: Convert to fraction form
    14,008/21,378 = 21,378/x
  3. Step 3: Cross multiply
    14,008x = 21,378 × 21,378
  4. Step 4: Simplify right side
    14,008x = 457,018,884
  5. Step 5: Solve for x
    x = 457,018,884/14,008
  6. Step 6: Final answer
    x = 32,625.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.