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Finding the Third Proportional to 14,357 and 20,553

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Solution

The third proportional to 14,357 and 20,553 is: 29,422.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357 : 20,553 = 20,553 : x
  2. Step 2: Convert to fraction form
    14,357/20,553 = 20,553/x
  3. Step 3: Cross multiply
    14,357x = 20,553 × 20,553
  4. Step 4: Simplify right side
    14,357x = 422,425,809
  5. Step 5: Solve for x
    x = 422,425,809/14,357
  6. Step 6: Final answer
    x = 29,422.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.