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Finding the Third Proportional to 39,557.74 and 85,301.54

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Solution

The third proportional to 39,557.74 and 85,301.54 is: 183,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,557.74 : 85,301.54 = 85,301.54 : x
  2. Step 2: Convert to fraction form
    39,557.74/85,301.54 = 85,301.54/x
  3. Step 3: Cross multiply
    39,557.74x = 85,301.54 × 85,301.54
  4. Step 4: Simplify right side
    39,557.74x = 7,276,353,232.85
  5. Step 5: Solve for x
    x = 7,276,353,232.85/39,557.74
  6. Step 6: Final answer
    x = 183,942.58

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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.