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Finding the Third Proportional to 40,773 and 64,869

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Solution

The third proportional to 40,773 and 64,869 is: 103,205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,773 : 64,869 = 64,869 : x
  2. Step 2: Convert to fraction form
    40,773/64,869 = 64,869/x
  3. Step 3: Cross multiply
    40,773x = 64,869 × 64,869
  4. Step 4: Simplify right side
    40,773x = 4,207,987,161
  5. Step 5: Solve for x
    x = 4,207,987,161/40,773
  6. Step 6: Final answer
    x = 103,205.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.