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Finding the Third Proportional to 40,824 and 47,304

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Solution

The third proportional to 40,824 and 47,304 is: 54,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,824 : 47,304 = 47,304 : x
  2. Step 2: Convert to fraction form
    40,824/47,304 = 47,304/x
  3. Step 3: Cross multiply
    40,824x = 47,304 × 47,304
  4. Step 4: Simplify right side
    40,824x = 2,237,668,416
  5. Step 5: Solve for x
    x = 2,237,668,416/40,824
  6. Step 6: Final answer
    x = 54,812.57

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.