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Finding the Third Proportional to 38,016 and 55,792.13

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Solution

The third proportional to 38,016 and 55,792.13 is: 81,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,016 : 55,792.13 = 55,792.13 : x
  2. Step 2: Convert to fraction form
    38,016/55,792.13 = 55,792.13/x
  3. Step 3: Cross multiply
    38,016x = 55,792.13 × 55,792.13
  4. Step 4: Simplify right side
    38,016x = 3,112,761,212.02
  5. Step 5: Solve for x
    x = 3,112,761,212.02/38,016
  6. Step 6: Final answer
    x = 81,880.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.