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Finding the Third Proportional to 29,911.22 and 65,255.91

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Solution

The third proportional to 29,911.22 and 65,255.91 is: 142,365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,911.22 : 65,255.91 = 65,255.91 : x
  2. Step 2: Convert to fraction form
    29,911.22/65,255.91 = 65,255.91/x
  3. Step 3: Cross multiply
    29,911.22x = 65,255.91 × 65,255.91
  4. Step 4: Simplify right side
    29,911.22x = 4,258,333,300.51
  5. Step 5: Solve for x
    x = 4,258,333,300.51/29,911.22
  6. Step 6: Final answer
    x = 142,365.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.