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Finding the Third Proportional to 14,313 and 21,900

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Solution

The third proportional to 14,313 and 21,900 is: 33,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,313 : 21,900 = 21,900 : x
  2. Step 2: Convert to fraction form
    14,313/21,900 = 21,900/x
  3. Step 3: Cross multiply
    14,313x = 21,900 × 21,900
  4. Step 4: Simplify right side
    14,313x = 479,610,000
  5. Step 5: Solve for x
    x = 479,610,000/14,313
  6. Step 6: Final answer
    x = 33,508.70

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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.