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Finding the Third Proportional to 14,378 and 21,507

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Solution

The third proportional to 14,378 and 21,507 is: 32,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378 : 21,507 = 21,507 : x
  2. Step 2: Convert to fraction form
    14,378/21,507 = 21,507/x
  3. Step 3: Cross multiply
    14,378x = 21,507 × 21,507
  4. Step 4: Simplify right side
    14,378x = 462,551,049
  5. Step 5: Solve for x
    x = 462,551,049/14,378
  6. Step 6: Final answer
    x = 32,170.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.