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Finding the Third Proportional to 32,238 and 48,370.50

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Solution

The third proportional to 32,238 and 48,370.50 is: 72,576.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,238 : 48,370.50 = 48,370.50 : x
  2. Step 2: Convert to fraction form
    32,238/48,370.50 = 48,370.50/x
  3. Step 3: Cross multiply
    32,238x = 48,370.50 × 48,370.50
  4. Step 4: Simplify right side
    32,238x = 2,339,705,270.25
  5. Step 5: Solve for x
    x = 2,339,705,270.25/32,238
  6. Step 6: Final answer
    x = 72,576.01

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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.