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Finding the Third Proportional to 29,964.94 and 65,055.66

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Solution

The third proportional to 29,964.94 and 65,055.66 is: 141,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,964.94 : 65,055.66 = 65,055.66 : x
  2. Step 2: Convert to fraction form
    29,964.94/65,055.66 = 65,055.66/x
  3. Step 3: Cross multiply
    29,964.94x = 65,055.66 × 65,055.66
  4. Step 4: Simplify right side
    29,964.94x = 4,232,238,410.12
  5. Step 5: Solve for x
    x = 4,232,238,410.12/29,964.94
  6. Step 6: Final answer
    x = 141,239.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.