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Finding the Third Proportional to 46,024 and 68,388

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Solution

The third proportional to 46,024 and 68,388 is: 101,619.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,024 : 68,388 = 68,388 : x
  2. Step 2: Convert to fraction form
    46,024/68,388 = 68,388/x
  3. Step 3: Cross multiply
    46,024x = 68,388 × 68,388
  4. Step 4: Simplify right side
    46,024x = 4,676,918,544
  5. Step 5: Solve for x
    x = 4,676,918,544/46,024
  6. Step 6: Final answer
    x = 101,619.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.