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Finding the Third Proportional to 31,546 and 48,304

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Solution

The third proportional to 31,546 and 48,304 is: 73,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,546 : 48,304 = 48,304 : x
  2. Step 2: Convert to fraction form
    31,546/48,304 = 48,304/x
  3. Step 3: Cross multiply
    31,546x = 48,304 × 48,304
  4. Step 4: Simplify right side
    31,546x = 2,333,276,416
  5. Step 5: Solve for x
    x = 2,333,276,416/31,546
  6. Step 6: Final answer
    x = 73,964.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.