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Finding the Third Proportional to 41,534 and 62,354

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Solution

The third proportional to 41,534 and 62,354 is: 93,610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,534 : 62,354 = 62,354 : x
  2. Step 2: Convert to fraction form
    41,534/62,354 = 62,354/x
  3. Step 3: Cross multiply
    41,534x = 62,354 × 62,354
  4. Step 4: Simplify right side
    41,534x = 3,888,021,316
  5. Step 5: Solve for x
    x = 3,888,021,316/41,534
  6. Step 6: Final answer
    x = 93,610.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.