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Finding the Third Proportional to 34,872 and 53,354

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Solution

The third proportional to 34,872 and 53,354 is: 81,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,872 : 53,354 = 53,354 : x
  2. Step 2: Convert to fraction form
    34,872/53,354 = 53,354/x
  3. Step 3: Cross multiply
    34,872x = 53,354 × 53,354
  4. Step 4: Simplify right side
    34,872x = 2,846,649,316
  5. Step 5: Solve for x
    x = 2,846,649,316/34,872
  6. Step 6: Final answer
    x = 81,631.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.