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Finding the Third Proportional to 32,822 and 49,221

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Solution

The third proportional to 32,822 and 49,221 is: 73,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,822 : 49,221 = 49,221 : x
  2. Step 2: Convert to fraction form
    32,822/49,221 = 49,221/x
  3. Step 3: Cross multiply
    32,822x = 49,221 × 49,221
  4. Step 4: Simplify right side
    32,822x = 2,422,706,841
  5. Step 5: Solve for x
    x = 2,422,706,841/32,822
  6. Step 6: Final answer
    x = 73,813.50

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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.