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Finding the Third Proportional to 14,304 and 19,664

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Solution

The third proportional to 14,304 and 19,664 is: 27,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,304 : 19,664 = 19,664 : x
  2. Step 2: Convert to fraction form
    14,304/19,664 = 19,664/x
  3. Step 3: Cross multiply
    14,304x = 19,664 × 19,664
  4. Step 4: Simplify right side
    14,304x = 386,672,896
  5. Step 5: Solve for x
    x = 386,672,896/14,304
  6. Step 6: Final answer
    x = 27,032.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.