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Finding the Third Proportional to 4,866.50 and 10,705

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Solution

The third proportional to 4,866.50 and 10,705 is: 23,548.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.50 : 10,705 = 10,705 : x
  2. Step 2: Convert to fraction form
    4,866.50/10,705 = 10,705/x
  3. Step 3: Cross multiply
    4,866.50x = 10,705 × 10,705
  4. Step 4: Simplify right side
    4,866.50x = 114,597,025
  5. Step 5: Solve for x
    x = 114,597,025/4,866.50
  6. Step 6: Final answer
    x = 23,548.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.