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Finding the Third Proportional to 5,792.13 and 9,040.60

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Solution

The third proportional to 5,792.13 and 9,040.60 is: 14,110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.13 : 9,040.60 = 9,040.60 : x
  2. Step 2: Convert to fraction form
    5,792.13/9,040.60 = 9,040.60/x
  3. Step 3: Cross multiply
    5,792.13x = 9,040.60 × 9,040.60
  4. Step 4: Simplify right side
    5,792.13x = 81,732,388.32
  5. Step 5: Solve for x
    x = 81,732,388.32/5,792.13
  6. Step 6: Final answer
    x = 14,110.93

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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.