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Finding the Third Proportional to 4,653.07 and 10,135.76

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Solution

The third proportional to 4,653.07 and 10,135.76 is: 22,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.07 : 10,135.76 = 10,135.76 : x
  2. Step 2: Convert to fraction form
    4,653.07/10,135.76 = 10,135.76/x
  3. Step 3: Cross multiply
    4,653.07x = 10,135.76 × 10,135.76
  4. Step 4: Simplify right side
    4,653.07x = 102,733,586.43
  5. Step 5: Solve for x
    x = 102,733,586.43/4,653.07
  6. Step 6: Final answer
    x = 22,078.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.