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Finding the Third Proportional to 10,273.50 and 13,550.63

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Solution

The third proportional to 10,273.50 and 13,550.63 is: 17,873.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.50 : 13,550.63 = 13,550.63 : x
  2. Step 2: Convert to fraction form
    10,273.50/13,550.63 = 13,550.63/x
  3. Step 3: Cross multiply
    10,273.50x = 13,550.63 × 13,550.63
  4. Step 4: Simplify right side
    10,273.50x = 183,619,437.89
  5. Step 5: Solve for x
    x = 183,619,437.89/10,273.50
  6. Step 6: Final answer
    x = 17,873.11

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.