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Finding the Third Proportional to 4,978.50 and 10,467

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Solution

The third proportional to 4,978.50 and 10,467 is: 22,006.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.50 : 10,467 = 10,467 : x
  2. Step 2: Convert to fraction form
    4,978.50/10,467 = 10,467/x
  3. Step 3: Cross multiply
    4,978.50x = 10,467 × 10,467
  4. Step 4: Simplify right side
    4,978.50x = 109,558,089
  5. Step 5: Solve for x
    x = 109,558,089/4,978.50
  6. Step 6: Final answer
    x = 22,006.24

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.