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Finding the Third Proportional to 39,411 and 84,654

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Solution

The third proportional to 39,411 and 84,654 is: 181,835.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,411 : 84,654 = 84,654 : x
  2. Step 2: Convert to fraction form
    39,411/84,654 = 84,654/x
  3. Step 3: Cross multiply
    39,411x = 84,654 × 84,654
  4. Step 4: Simplify right side
    39,411x = 7,166,299,716
  5. Step 5: Solve for x
    x = 7,166,299,716/39,411
  6. Step 6: Final answer
    x = 181,835.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.