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Finding the Third Proportional to 32,467 and 49,304

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Solution

The third proportional to 32,467 and 49,304 is: 74,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,467 : 49,304 = 49,304 : x
  2. Step 2: Convert to fraction form
    32,467/49,304 = 49,304/x
  3. Step 3: Cross multiply
    32,467x = 49,304 × 49,304
  4. Step 4: Simplify right side
    32,467x = 2,430,884,416
  5. Step 5: Solve for x
    x = 2,430,884,416/32,467
  6. Step 6: Final answer
    x = 74,872.47

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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.