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Finding the Third Proportional to 10,193.63 and 13,719.38

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Solution

The third proportional to 10,193.63 and 13,719.38 is: 18,464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.63 : 13,719.38 = 13,719.38 : x
  2. Step 2: Convert to fraction form
    10,193.63/13,719.38 = 13,719.38/x
  3. Step 3: Cross multiply
    10,193.63x = 13,719.38 × 13,719.38
  4. Step 4: Simplify right side
    10,193.63x = 188,221,250.39
  5. Step 5: Solve for x
    x = 188,221,250.39/10,193.63
  6. Step 6: Final answer
    x = 18,464.60

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