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Finding the Third Proportional to 39,529.50 and 86,433

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Solution

The third proportional to 39,529.50 and 86,433 is: 188,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,529.50 : 86,433 = 86,433 : x
  2. Step 2: Convert to fraction form
    39,529.50/86,433 = 86,433/x
  3. Step 3: Cross multiply
    39,529.50x = 86,433 × 86,433
  4. Step 4: Simplify right side
    39,529.50x = 7,470,663,489
  5. Step 5: Solve for x
    x = 7,470,663,489/39,529.50
  6. Step 6: Final answer
    x = 188,989.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.