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Finding the Third Proportional to 38,155.50 and 56,092.50

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Solution

The third proportional to 38,155.50 and 56,092.50 is: 82,461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,155.50 : 56,092.50 = 56,092.50 : x
  2. Step 2: Convert to fraction form
    38,155.50/56,092.50 = 56,092.50/x
  3. Step 3: Cross multiply
    38,155.50x = 56,092.50 × 56,092.50
  4. Step 4: Simplify right side
    38,155.50x = 3,146,368,556.25
  5. Step 5: Solve for x
    x = 3,146,368,556.25/38,155.50
  6. Step 6: Final answer
    x = 82,461.73

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