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Finding the Third Proportional to 18,032.25 and 39,105.75

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Solution

The third proportional to 18,032.25 and 39,105.75 is: 84,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,032.25 : 39,105.75 = 39,105.75 : x
  2. Step 2: Convert to fraction form
    18,032.25/39,105.75 = 39,105.75/x
  3. Step 3: Cross multiply
    18,032.25x = 39,105.75 × 39,105.75
  4. Step 4: Simplify right side
    18,032.25x = 1,529,259,683.06
  5. Step 5: Solve for x
    x = 1,529,259,683.06/18,032.25
  6. Step 6: Final answer
    x = 84,806.93

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1.5x scale

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.