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Finding the Third Proportional to 5,034.38 and 10,933.88

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Solution

The third proportional to 5,034.38 and 10,933.88 is: 23,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.38 : 10,933.88 = 10,933.88 : x
  2. Step 2: Convert to fraction form
    5,034.38/10,933.88 = 10,933.88/x
  3. Step 3: Cross multiply
    5,034.38x = 10,933.88 × 10,933.88
  4. Step 4: Simplify right side
    5,034.38x = 119,549,622.52
  5. Step 5: Solve for x
    x = 119,549,622.52/5,034.38
  6. Step 6: Final answer
    x = 23,746.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.