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Finding the Third Proportional to 32,830 and 49,235

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Solution

The third proportional to 32,830 and 49,235 is: 73,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,830 : 49,235 = 49,235 : x
  2. Step 2: Convert to fraction form
    32,830/49,235 = 49,235/x
  3. Step 3: Cross multiply
    32,830x = 49,235 × 49,235
  4. Step 4: Simplify right side
    32,830x = 2,424,085,225
  5. Step 5: Solve for x
    x = 2,424,085,225/32,830
  6. Step 6: Final answer
    x = 73,837.50

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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.