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Finding the Third Proportional to 29,706.75 and 40,854.38

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Solution

The third proportional to 29,706.75 and 40,854.38 is: 56,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706.75 : 40,854.38 = 40,854.38 : x
  2. Step 2: Convert to fraction form
    29,706.75/40,854.38 = 40,854.38/x
  3. Step 3: Cross multiply
    29,706.75x = 40,854.38 × 40,854.38
  4. Step 4: Simplify right side
    29,706.75x = 1,669,079,956.64
  5. Step 5: Solve for x
    x = 1,669,079,956.64/29,706.75
  6. Step 6: Final answer
    x = 56,185.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.