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Finding the Third Proportional to 41,051.81 and 87,400.13

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Solution

The third proportional to 41,051.81 and 87,400.13 is: 186,076.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,051.81 : 87,400.13 = 87,400.13 : x
  2. Step 2: Convert to fraction form
    41,051.81/87,400.13 = 87,400.13/x
  3. Step 3: Cross multiply
    41,051.81x = 87,400.13 × 87,400.13
  4. Step 4: Simplify right side
    41,051.81x = 7,638,781,850.02
  5. Step 5: Solve for x
    x = 7,638,781,850.02/41,051.81
  6. Step 6: Final answer
    x = 186,076.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.