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Finding the Third Proportional to 32,378.50 and 49,240

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Solution

The third proportional to 32,378.50 and 49,240 is: 74,882.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,378.50 : 49,240 = 49,240 : x
  2. Step 2: Convert to fraction form
    32,378.50/49,240 = 49,240/x
  3. Step 3: Cross multiply
    32,378.50x = 49,240 × 49,240
  4. Step 4: Simplify right side
    32,378.50x = 2,424,577,600
  5. Step 5: Solve for x
    x = 2,424,577,600/32,378.50
  6. Step 6: Final answer
    x = 74,882.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.