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Finding the Third Proportional to 14,454 and 28,872

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Solution

The third proportional to 14,454 and 28,872 is: 57,672.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454 : 28,872 = 28,872 : x
  2. Step 2: Convert to fraction form
    14,454/28,872 = 28,872/x
  3. Step 3: Cross multiply
    14,454x = 28,872 × 28,872
  4. Step 4: Simplify right side
    14,454x = 833,592,384
  5. Step 5: Solve for x
    x = 833,592,384/14,454
  6. Step 6: Final answer
    x = 57,672.09

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.