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Finding the Third Proportional to 38,946 and 84,912

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Solution

The third proportional to 38,946 and 84,912 is: 185,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,946 : 84,912 = 84,912 : x
  2. Step 2: Convert to fraction form
    38,946/84,912 = 84,912/x
  3. Step 3: Cross multiply
    38,946x = 84,912 × 84,912
  4. Step 4: Simplify right side
    38,946x = 7,210,047,744
  5. Step 5: Solve for x
    x = 7,210,047,744/38,946
  6. Step 6: Final answer
    x = 185,129.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.