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Finding the Third Proportional to 14,467 and 22,546.25

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Solution

The third proportional to 14,467 and 22,546.25 is: 35,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467 : 22,546.25 = 22,546.25 : x
  2. Step 2: Convert to fraction form
    14,467/22,546.25 = 22,546.25/x
  3. Step 3: Cross multiply
    14,467x = 22,546.25 × 22,546.25
  4. Step 4: Simplify right side
    14,467x = 508,333,389.06
  5. Step 5: Solve for x
    x = 508,333,389.06/14,467
  6. Step 6: Final answer
    x = 35,137.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.