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Finding the Third Proportional to 4,824 and 7,614

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Solution

The third proportional to 4,824 and 7,614 is: 12,017.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824 : 7,614 = 7,614 : x
  2. Step 2: Convert to fraction form
    4,824/7,614 = 7,614/x
  3. Step 3: Cross multiply
    4,824x = 7,614 × 7,614
  4. Step 4: Simplify right side
    4,824x = 57,972,996
  5. Step 5: Solve for x
    x = 57,972,996/4,824
  6. Step 6: Final answer
    x = 12,017.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.