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Finding the Third Proportional to 29,802 and 41,316

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Solution

The third proportional to 29,802 and 41,316 is: 57,278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,802 : 41,316 = 41,316 : x
  2. Step 2: Convert to fraction form
    29,802/41,316 = 41,316/x
  3. Step 3: Cross multiply
    29,802x = 41,316 × 41,316
  4. Step 4: Simplify right side
    29,802x = 1,707,011,856
  5. Step 5: Solve for x
    x = 1,707,011,856/29,802
  6. Step 6: Final answer
    x = 57,278.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.