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Finding the Third Proportional to 4,721.41 and 7,344.11

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Solution

The third proportional to 4,721.41 and 7,344.11 is: 11,423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,721.41 : 7,344.11 = 7,344.11 : x
  2. Step 2: Convert to fraction form
    4,721.41/7,344.11 = 7,344.11/x
  3. Step 3: Cross multiply
    4,721.41x = 7,344.11 × 7,344.11
  4. Step 4: Simplify right side
    4,721.41x = 53,935,885.14
  5. Step 5: Solve for x
    x = 53,935,885.14/4,721.41
  6. Step 6: Final answer
    x = 11,423.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.