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Finding the Third Proportional to 38,551 and 84,090.50

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Solution

The third proportional to 38,551 and 84,090.50 is: 183,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,551 : 84,090.50 = 84,090.50 : x
  2. Step 2: Convert to fraction form
    38,551/84,090.50 = 84,090.50/x
  3. Step 3: Cross multiply
    38,551x = 84,090.50 × 84,090.50
  4. Step 4: Simplify right side
    38,551x = 7,071,212,190.25
  5. Step 5: Solve for x
    x = 7,071,212,190.25/38,551
  6. Step 6: Final answer
    x = 183,424.87

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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.