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Finding the Third Proportional to 32,325.75 and 47,234.81

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Solution

The third proportional to 32,325.75 and 47,234.81 is: 69,020.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,325.75 : 47,234.81 = 47,234.81 : x
  2. Step 2: Convert to fraction form
    32,325.75/47,234.81 = 47,234.81/x
  3. Step 3: Cross multiply
    32,325.75x = 47,234.81 × 47,234.81
  4. Step 4: Simplify right side
    32,325.75x = 2,231,127,511.91
  5. Step 5: Solve for x
    x = 2,231,127,511.91/32,325.75
  6. Step 6: Final answer
    x = 69,020.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.