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Finding the Third Proportional to 32,984 and 49,476

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Solution

The third proportional to 32,984 and 49,476 is: 74,214

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,984 : 49,476 = 49,476 : x
  2. Step 2: Convert to fraction form
    32,984/49,476 = 49,476/x
  3. Step 3: Cross multiply
    32,984x = 49,476 × 49,476
  4. Step 4: Simplify right side
    32,984x = 2,447,874,576
  5. Step 5: Solve for x
    x = 2,447,874,576/32,984
  6. Step 6: Final answer
    x = 74,214

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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.