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Finding the Third Proportional to 29,741.91 and 64,384.03

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Solution

The third proportional to 29,741.91 and 64,384.03 is: 139,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,741.91 : 64,384.03 = 64,384.03 : x
  2. Step 2: Convert to fraction form
    29,741.91/64,384.03 = 64,384.03/x
  3. Step 3: Cross multiply
    29,741.91x = 64,384.03 × 64,384.03
  4. Step 4: Simplify right side
    29,741.91x = 4,145,303,480.00
  5. Step 5: Solve for x
    x = 4,145,303,480.00/29,741.91
  6. Step 6: Final answer
    x = 139,375.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.