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Finding the Third Proportional to 32,095.75 and 47,234.50

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Solution

The third proportional to 32,095.75 and 47,234.50 is: 69,513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,095.75 : 47,234.50 = 47,234.50 : x
  2. Step 2: Convert to fraction form
    32,095.75/47,234.50 = 47,234.50/x
  3. Step 3: Cross multiply
    32,095.75x = 47,234.50 × 47,234.50
  4. Step 4: Simplify right side
    32,095.75x = 2,231,097,990.25
  5. Step 5: Solve for x
    x = 2,231,097,990.25/32,095.75
  6. Step 6: Final answer
    x = 69,513.81

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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.