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Finding the Third Proportional to 10,557.56 and 14,250.94

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Solution

The third proportional to 10,557.56 and 14,250.94 is: 19,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.56 : 14,250.94 = 14,250.94 : x
  2. Step 2: Convert to fraction form
    10,557.56/14,250.94 = 14,250.94/x
  3. Step 3: Cross multiply
    10,557.56x = 14,250.94 × 14,250.94
  4. Step 4: Simplify right side
    10,557.56x = 203,089,219.63
  5. Step 5: Solve for x
    x = 203,089,219.63/10,557.56
  6. Step 6: Final answer
    x = 19,236.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.