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Finding the Third Proportional to 5,440.92 and 8,430.96

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Solution

The third proportional to 5,440.92 and 8,430.96 is: 13,064.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,440.92 : 8,430.96 = 8,430.96 : x
  2. Step 2: Convert to fraction form
    5,440.92/8,430.96 = 8,430.96/x
  3. Step 3: Cross multiply
    5,440.92x = 8,430.96 × 8,430.96
  4. Step 4: Simplify right side
    5,440.92x = 71,081,102.33
  5. Step 5: Solve for x
    x = 71,081,102.33/5,440.92
  6. Step 6: Final answer
    x = 13,064.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.