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Finding the Third Proportional to 38,032.75 and 84,810.25

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Solution

The third proportional to 38,032.75 and 84,810.25 is: 189,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,032.75 : 84,810.25 = 84,810.25 : x
  2. Step 2: Convert to fraction form
    38,032.75/84,810.25 = 84,810.25/x
  3. Step 3: Cross multiply
    38,032.75x = 84,810.25 × 84,810.25
  4. Step 4: Simplify right side
    38,032.75x = 7,192,778,505.06
  5. Step 5: Solve for x
    x = 7,192,778,505.06/38,032.75
  6. Step 6: Final answer
    x = 189,120.65

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.