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Finding the Third Proportional to 1,824 and 4,080

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Solution

The third proportional to 1,824 and 4,080 is: 9,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824 : 4,080 = 4,080 : x
  2. Step 2: Convert to fraction form
    1,824/4,080 = 4,080/x
  3. Step 3: Cross multiply
    1,824x = 4,080 × 4,080
  4. Step 4: Simplify right side
    1,824x = 16,646,400
  5. Step 5: Solve for x
    x = 16,646,400/1,824
  6. Step 6: Final answer
    x = 9,126.32

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.