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Finding the Third Proportional to 14,300 and 21,831

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Solution

The third proportional to 14,300 and 21,831 is: 33,328.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,300 : 21,831 = 21,831 : x
  2. Step 2: Convert to fraction form
    14,300/21,831 = 21,831/x
  3. Step 3: Cross multiply
    14,300x = 21,831 × 21,831
  4. Step 4: Simplify right side
    14,300x = 476,592,561
  5. Step 5: Solve for x
    x = 476,592,561/14,300
  6. Step 6: Final answer
    x = 33,328.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.