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Finding the Third Proportional to 39,053.50 and 85,174

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Solution

The third proportional to 39,053.50 and 85,174 is: 185,760.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,053.50 : 85,174 = 85,174 : x
  2. Step 2: Convert to fraction form
    39,053.50/85,174 = 85,174/x
  3. Step 3: Cross multiply
    39,053.50x = 85,174 × 85,174
  4. Step 4: Simplify right side
    39,053.50x = 7,254,610,276
  5. Step 5: Solve for x
    x = 7,254,610,276/39,053.50
  6. Step 6: Final answer
    x = 185,760.82

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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.