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Finding the Third Proportional to 10,300.50 and 16,815.94

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Solution

The third proportional to 10,300.50 and 16,815.94 is: 27,452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.50 : 16,815.94 = 16,815.94 : x
  2. Step 2: Convert to fraction form
    10,300.50/16,815.94 = 16,815.94/x
  3. Step 3: Cross multiply
    10,300.50x = 16,815.94 × 16,815.94
  4. Step 4: Simplify right side
    10,300.50x = 282,775,754.00
  5. Step 5: Solve for x
    x = 282,775,754.00/10,300.50
  6. Step 6: Final answer
    x = 27,452.62

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.