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Finding the Third Proportional to 7,342.17 and 11,045.67

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Solution

The third proportional to 7,342.17 and 11,045.67 is: 16,617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.17 : 11,045.67 = 11,045.67 : x
  2. Step 2: Convert to fraction form
    7,342.17/11,045.67 = 11,045.67/x
  3. Step 3: Cross multiply
    7,342.17x = 11,045.67 × 11,045.67
  4. Step 4: Simplify right side
    7,342.17x = 122,006,867.17
  5. Step 5: Solve for x
    x = 122,006,867.17/7,342.17
  6. Step 6: Final answer
    x = 16,617.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.