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Finding the Third Proportional to 38,250 and 56,193.75

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Solution

The third proportional to 38,250 and 56,193.75 is: 82,555.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,250 : 56,193.75 = 56,193.75 : x
  2. Step 2: Convert to fraction form
    38,250/56,193.75 = 56,193.75/x
  3. Step 3: Cross multiply
    38,250x = 56,193.75 × 56,193.75
  4. Step 4: Simplify right side
    38,250x = 3,157,737,539.06
  5. Step 5: Solve for x
    x = 3,157,737,539.06/38,250
  6. Step 6: Final answer
    x = 82,555.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.