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Finding the Third Proportional to 29,973.38 and 60,832.69

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Solution

The third proportional to 29,973.38 and 60,832.69 is: 123,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,973.38 : 60,832.69 = 60,832.69 : x
  2. Step 2: Convert to fraction form
    29,973.38/60,832.69 = 60,832.69/x
  3. Step 3: Cross multiply
    29,973.38x = 60,832.69 × 60,832.69
  4. Step 4: Simplify right side
    29,973.38x = 3,700,615,868.47
  5. Step 5: Solve for x
    x = 3,700,615,868.47/29,973.38
  6. Step 6: Final answer
    x = 123,463.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.