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Finding the Third Proportional to 10,300.50 and 16,848

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Solution

The third proportional to 10,300.50 and 16,848 is: 27,557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.50 : 16,848 = 16,848 : x
  2. Step 2: Convert to fraction form
    10,300.50/16,848 = 16,848/x
  3. Step 3: Cross multiply
    10,300.50x = 16,848 × 16,848
  4. Step 4: Simplify right side
    10,300.50x = 283,855,104
  5. Step 5: Solve for x
    x = 283,855,104/10,300.50
  6. Step 6: Final answer
    x = 27,557.41

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.