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Finding the Third Proportional to 38,926 and 84,658

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Solution

The third proportional to 38,926 and 84,658 is: 184,117.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,926 : 84,658 = 84,658 : x
  2. Step 2: Convert to fraction form
    38,926/84,658 = 84,658/x
  3. Step 3: Cross multiply
    38,926x = 84,658 × 84,658
  4. Step 4: Simplify right side
    38,926x = 7,166,976,964
  5. Step 5: Solve for x
    x = 7,166,976,964/38,926
  6. Step 6: Final answer
    x = 184,117.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.