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Finding the Third Proportional to 14,357 and 21,536

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Solution

The third proportional to 14,357 and 21,536 is: 32,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357 : 21,536 = 21,536 : x
  2. Step 2: Convert to fraction form
    14,357/21,536 = 21,536/x
  3. Step 3: Cross multiply
    14,357x = 21,536 × 21,536
  4. Step 4: Simplify right side
    14,357x = 463,799,296
  5. Step 5: Solve for x
    x = 463,799,296/14,357
  6. Step 6: Final answer
    x = 32,304.75

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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.