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Finding the Third Proportional to 32,973 and 79,767

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Solution

The third proportional to 32,973 and 79,767 is: 192,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,973 : 79,767 = 79,767 : x
  2. Step 2: Convert to fraction form
    32,973/79,767 = 79,767/x
  3. Step 3: Cross multiply
    32,973x = 79,767 × 79,767
  4. Step 4: Simplify right side
    32,973x = 6,362,774,289
  5. Step 5: Solve for x
    x = 6,362,774,289/32,973
  6. Step 6: Final answer
    x = 192,969.23

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.