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Finding the Third Proportional to 3,419.72 and 7,373.53

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Solution

The third proportional to 3,419.72 and 7,373.53 is: 15,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.72 : 7,373.53 = 7,373.53 : x
  2. Step 2: Convert to fraction form
    3,419.72/7,373.53 = 7,373.53/x
  3. Step 3: Cross multiply
    3,419.72x = 7,373.53 × 7,373.53
  4. Step 4: Simplify right side
    3,419.72x = 54,368,963.09
  5. Step 5: Solve for x
    x = 54,368,963.09/3,419.72
  6. Step 6: Final answer
    x = 15,898.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.