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Finding the Third Proportional to 32,097.94 and 48,243.94

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Solution

The third proportional to 32,097.94 and 48,243.94 is: 72,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.94 : 48,243.94 = 48,243.94 : x
  2. Step 2: Convert to fraction form
    32,097.94/48,243.94 = 48,243.94/x
  3. Step 3: Cross multiply
    32,097.94x = 48,243.94 × 48,243.94
  4. Step 4: Simplify right side
    32,097.94x = 2,327,477,505.50
  5. Step 5: Solve for x
    x = 2,327,477,505.50/32,097.94
  6. Step 6: Final answer
    x = 72,511.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.