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Finding the Third Proportional to 38,056.50 and 59,155.50

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Solution

The third proportional to 38,056.50 and 59,155.50 is: 91,952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,056.50 : 59,155.50 = 59,155.50 : x
  2. Step 2: Convert to fraction form
    38,056.50/59,155.50 = 59,155.50/x
  3. Step 3: Cross multiply
    38,056.50x = 59,155.50 × 59,155.50
  4. Step 4: Simplify right side
    38,056.50x = 3,499,373,180.25
  5. Step 5: Solve for x
    x = 3,499,373,180.25/38,056.50
  6. Step 6: Final answer
    x = 91,952.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.