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Finding the Third Proportional to 40,066 and 62,284

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Solution

The third proportional to 40,066 and 62,284 is: 96,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,066 : 62,284 = 62,284 : x
  2. Step 2: Convert to fraction form
    40,066/62,284 = 62,284/x
  3. Step 3: Cross multiply
    40,066x = 62,284 × 62,284
  4. Step 4: Simplify right side
    40,066x = 3,879,296,656
  5. Step 5: Solve for x
    x = 3,879,296,656/40,066
  6. Step 6: Final answer
    x = 96,822.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.