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Finding the Third Proportional to 40,349 and 61,388

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Solution

The third proportional to 40,349 and 61,388 is: 93,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,349 : 61,388 = 61,388 : x
  2. Step 2: Convert to fraction form
    40,349/61,388 = 61,388/x
  3. Step 3: Cross multiply
    40,349x = 61,388 × 61,388
  4. Step 4: Simplify right side
    40,349x = 3,768,486,544
  5. Step 5: Solve for x
    x = 3,768,486,544/40,349
  6. Step 6: Final answer
    x = 93,397.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.