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Finding the Third Proportional to 29,670.75 and 39,633.75

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Solution

The third proportional to 29,670.75 and 39,633.75 is: 52,942.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,670.75 : 39,633.75 = 39,633.75 : x
  2. Step 2: Convert to fraction form
    29,670.75/39,633.75 = 39,633.75/x
  3. Step 3: Cross multiply
    29,670.75x = 39,633.75 × 39,633.75
  4. Step 4: Simplify right side
    29,670.75x = 1,570,834,139.06
  5. Step 5: Solve for x
    x = 1,570,834,139.06/29,670.75
  6. Step 6: Final answer
    x = 52,942.18

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.