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Finding the Third Proportional to 29,182.78 and 34,479.42

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Solution

The third proportional to 29,182.78 and 34,479.42 is: 40,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,182.78 : 34,479.42 = 34,479.42 : x
  2. Step 2: Convert to fraction form
    29,182.78/34,479.42 = 34,479.42/x
  3. Step 3: Cross multiply
    29,182.78x = 34,479.42 × 34,479.42
  4. Step 4: Simplify right side
    29,182.78x = 1,188,830,532.83
  5. Step 5: Solve for x
    x = 1,188,830,532.83/29,182.78
  6. Step 6: Final answer
    x = 40,737.40

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.