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Finding the Third Proportional to 14,593 and 21,372

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Solution

The third proportional to 14,593 and 21,372 is: 31,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593 : 21,372 = 21,372 : x
  2. Step 2: Convert to fraction form
    14,593/21,372 = 21,372/x
  3. Step 3: Cross multiply
    14,593x = 21,372 × 21,372
  4. Step 4: Simplify right side
    14,593x = 456,762,384
  5. Step 5: Solve for x
    x = 456,762,384/14,593
  6. Step 6: Final answer
    x = 31,300.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.