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Finding the Third Proportional to 34,111.13 and 54,659.81

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Solution

The third proportional to 34,111.13 and 54,659.81 is: 87,587.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,111.13 : 54,659.81 = 54,659.81 : x
  2. Step 2: Convert to fraction form
    34,111.13/54,659.81 = 54,659.81/x
  3. Step 3: Cross multiply
    34,111.13x = 54,659.81 × 54,659.81
  4. Step 4: Simplify right side
    34,111.13x = 2,987,695,102.54
  5. Step 5: Solve for x
    x = 2,987,695,102.54/34,111.13
  6. Step 6: Final answer
    x = 87,587.12

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.