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Finding the Third Proportional to 38,846 and 84,046

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Solution

The third proportional to 38,846 and 84,046 is: 181,839.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,846 : 84,046 = 84,046 : x
  2. Step 2: Convert to fraction form
    38,846/84,046 = 84,046/x
  3. Step 3: Cross multiply
    38,846x = 84,046 × 84,046
  4. Step 4: Simplify right side
    38,846x = 7,063,730,116
  5. Step 5: Solve for x
    x = 7,063,730,116/38,846
  6. Step 6: Final answer
    x = 181,839.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.