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Finding the Third Proportional to 32,377.50 and 43,742.25

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Solution

The third proportional to 32,377.50 and 43,742.25 is: 59,096.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,377.50 : 43,742.25 = 43,742.25 : x
  2. Step 2: Convert to fraction form
    32,377.50/43,742.25 = 43,742.25/x
  3. Step 3: Cross multiply
    32,377.50x = 43,742.25 × 43,742.25
  4. Step 4: Simplify right side
    32,377.50x = 1,913,384,435.06
  5. Step 5: Solve for x
    x = 1,913,384,435.06/32,377.50
  6. Step 6: Final answer
    x = 59,096.11

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.