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Finding the Third Proportional to 32,271.75 and 48,063.38

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Solution

The third proportional to 32,271.75 and 48,063.38 is: 71,582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,271.75 : 48,063.38 = 48,063.38 : x
  2. Step 2: Convert to fraction form
    32,271.75/48,063.38 = 48,063.38/x
  3. Step 3: Cross multiply
    32,271.75x = 48,063.38 × 48,063.38
  4. Step 4: Simplify right side
    32,271.75x = 2,310,088,016.39
  5. Step 5: Solve for x
    x = 2,310,088,016.39/32,271.75
  6. Step 6: Final answer
    x = 71,582.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.