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Finding the Third Proportional to 4,343.63 and 8,272.13

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Solution

The third proportional to 4,343.63 and 8,272.13 is: 15,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.63 : 8,272.13 = 8,272.13 : x
  2. Step 2: Convert to fraction form
    4,343.63/8,272.13 = 8,272.13/x
  3. Step 3: Cross multiply
    4,343.63x = 8,272.13 × 8,272.13
  4. Step 4: Simplify right side
    4,343.63x = 68,428,052.02
  5. Step 5: Solve for x
    x = 68,428,052.02/4,343.63
  6. Step 6: Final answer
    x = 15,753.67

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.