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Finding the Third Proportional to 13,573.50 and 29,467

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Solution

The third proportional to 13,573.50 and 29,467 is: 63,970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.50 : 29,467 = 29,467 : x
  2. Step 2: Convert to fraction form
    13,573.50/29,467 = 29,467/x
  3. Step 3: Cross multiply
    13,573.50x = 29,467 × 29,467
  4. Step 4: Simplify right side
    13,573.50x = 868,304,089
  5. Step 5: Solve for x
    x = 868,304,089/13,573.50
  6. Step 6: Final answer
    x = 63,970.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.