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Finding the Third Proportional to 34,884 and 75,354

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Solution

The third proportional to 34,884 and 75,354 is: 162,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,884 : 75,354 = 75,354 : x
  2. Step 2: Convert to fraction form
    34,884/75,354 = 75,354/x
  3. Step 3: Cross multiply
    34,884x = 75,354 × 75,354
  4. Step 4: Simplify right side
    34,884x = 5,678,225,316
  5. Step 5: Solve for x
    x = 5,678,225,316/34,884
  6. Step 6: Final answer
    x = 162,774.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.