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Finding the Third Proportional to 29,240 and 41,376

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Solution

The third proportional to 29,240 and 41,376 is: 58,549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,240 : 41,376 = 41,376 : x
  2. Step 2: Convert to fraction form
    29,240/41,376 = 41,376/x
  3. Step 3: Cross multiply
    29,240x = 41,376 × 41,376
  4. Step 4: Simplify right side
    29,240x = 1,711,973,376
  5. Step 5: Solve for x
    x = 1,711,973,376/29,240
  6. Step 6: Final answer
    x = 58,549.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.